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Finding the Fourth Proportional to 406,256.78, 560,627.42 and 224,964.80

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Solution

The fourth proportional to 406,256.78, 560,627.42 and 224,964.80 is: 310,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,256.78 : 560,627.42 = 224,964.80 : x
  2. Step 2: Convert to fraction form
    406,256.78/560,627.42 = 224,964.80/x
  3. Step 3: Cross multiply
    406,256.78x = 560,627.42 × 224,964.80
  4. Step 4: Simplify right side
    406,256.78x = 126,121,431,486.86
  5. Step 5: Solve for x
    x = 126,121,431,486.86/406,256.78
  6. Step 6: Final answer
    x = 310,447.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.