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Finding the Fourth Proportional to 520,097.38, 717,785.33 and 316,132.90

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Solution

The fourth proportional to 520,097.38, 717,785.33 and 316,132.90 is: 436,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,097.38 : 717,785.33 = 316,132.90 : x
  2. Step 2: Convert to fraction form
    520,097.38/717,785.33 = 316,132.90/x
  3. Step 3: Cross multiply
    520,097.38x = 717,785.33 × 316,132.90
  4. Step 4: Simplify right side
    520,097.38x = 226,915,554,575.23
  5. Step 5: Solve for x
    x = 226,915,554,575.23/520,097.38
  6. Step 6: Final answer
    x = 436,294.36

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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.