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Finding the Fourth Proportional to 415,717.80, 573,687 and 224,729.52

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Solution

The fourth proportional to 415,717.80, 573,687 and 224,729.52 is: 310,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,717.80 : 573,687 = 224,729.52 : x
  2. Step 2: Convert to fraction form
    415,717.80/573,687 = 224,729.52/x
  3. Step 3: Cross multiply
    415,717.80x = 573,687 × 224,729.52
  4. Step 4: Simplify right side
    415,717.80x = 128,924,404,140.24
  5. Step 5: Solve for x
    x = 128,924,404,140.24/415,717.80
  6. Step 6: Final answer
    x = 310,124.81

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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.