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Finding the Fourth Proportional to 513,234.38, 708,248.72 and 283,787.66

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Solution

The fourth proportional to 513,234.38, 708,248.72 and 283,787.66 is: 391,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,234.38 : 708,248.72 = 283,787.66 : x
  2. Step 2: Convert to fraction form
    513,234.38/708,248.72 = 283,787.66/x
  3. Step 3: Cross multiply
    513,234.38x = 708,248.72 × 283,787.66
  4. Step 4: Simplify right side
    513,234.38x = 200,992,244,115.02
  5. Step 5: Solve for x
    x = 200,992,244,115.02/513,234.38
  6. Step 6: Final answer
    x = 391,618.83

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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.