What is proper ratio of money spent on amp/preamp/integrated vs speakers? 1:1?

@tlinkie, yes white  speakers, white background goes down really well. Helps with imagery a bit too.

As for this magical ratio, well as @mikapen said sometimes spending more = worse sound. Not all companies are like Harbeth or ATC where spending more gives a better sound. Far from it, especially for amps/cables etc. But we all know that, don't we?

Again, it all depends upon at which price point you can hear the performance flat lining.

You might have to discover where the sweet spot in a particular range might be, or else risk being forced out of your listening room by the sheer number of boxes which have almost surreptitiously taken up residence.

I have a friend whose front room looks like he's installed a console from Cape Canaveral. Seriously, reconnecting or rewiring his receiver is a two man half day job.

Rule of thumb is that speakers (including subs) should be 1/2 your budget. If buying used gear it throws it off, but still. 
 
If a $1000 speaker needs a $2000 amp to sound good, then it’s not a good speaker. 
 
How I would spend $10,000: 
 
• -$3000: Ascend Acoustics Sierra Towers w/RAAL. 
• -$1800: Dual Rythmik F12 subs. 
• -$1000: Room treatment.  
• -$1300: MiniDSP SHD. 
• -$2200: ATI AT522NC amp. 
• -$700: Cables (don’t need to spend this much, but why not).

The lower powered Sherwood 7100 & 7100A beat the pants off Sherwood 7200 and 7300.  The Yamaha CR 620 is also easily better sounding than the CR 1020 and 2020.  I know, I tried several  of each model.  Sure they're older receivers, but the lower powered ones had simpler power supplies and stages.  They just sound better.  I use the CR 620 with ADS L620s for my video systems.

For digital playback, I spend ~30% on source and DAC, another ~30% on speakers, and the remaining on preampfification, amplification, and cables. That ratio has served me well in multiple system setups. There's never been an obvious weak link. 

However, everyone has made good points about finding "your sound".  I recently violated my rules and acquired speakers that are only around ~10-15% of the stack cost. They were special to my ears and brain so, even if you adopt a ratio, you may end up violating it anyway down the road.

The common denominator here is, buy what works for you.

There is no “golden ratio”.  Blind test gear if you would rather know how something sounds without the bias of cost and gear reviews.  The results may surprise you and you’ll likely end up with a much more cost effective system. 

IIRC Robert Harley’s book “The Complete Guide to High-End Audio” has a suggested % allocation. BUT, it is only a very loose guide maybe more useful for a rough idea in a new audio chain.  Normally, one looks at their audio chain a then address the “weak links” to raise performance vs a simple $-% allocation .