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Finding the Fourth Proportional to 534,757.38, 802,237.32 and 214,934.16

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Solution

The fourth proportional to 534,757.38, 802,237.32 and 214,934.16 is: 322,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,757.38 : 802,237.32 = 214,934.16 : x
  2. Step 2: Convert to fraction form
    534,757.38/802,237.32 = 214,934.16/x
  3. Step 3: Cross multiply
    534,757.38x = 802,237.32 × 214,934.16
  4. Step 4: Simplify right side
    534,757.38x = 172,428,204,494.85
  5. Step 5: Solve for x
    x = 172,428,204,494.85/534,757.38
  6. Step 6: Final answer
    x = 322,441.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.