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Finding the Fourth Proportional to 415,951.83, 574,013.90 and 224,965.22

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Solution

The fourth proportional to 415,951.83, 574,013.90 and 224,965.22 is: 310,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,951.83 : 574,013.90 = 224,965.22 : x
  2. Step 2: Convert to fraction form
    415,951.83/574,013.90 = 224,965.22/x
  3. Step 3: Cross multiply
    415,951.83x = 574,013.90 × 224,965.22
  4. Step 4: Simplify right side
    415,951.83x = 129,133,160,988.90
  5. Step 5: Solve for x
    x = 129,133,160,988.90/415,951.83
  6. Step 6: Final answer
    x = 310,452.20

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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.