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Finding the Fourth Proportional to 498,251.25, 747,369.86 and 231,862.77

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Solution

The fourth proportional to 498,251.25, 747,369.86 and 231,862.77 is: 347,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,251.25 : 747,369.86 = 231,862.77 : x
  2. Step 2: Convert to fraction form
    498,251.25/747,369.86 = 231,862.77/x
  3. Step 3: Cross multiply
    498,251.25x = 747,369.86 × 231,862.77
  4. Step 4: Simplify right side
    498,251.25x = 173,287,244,794.80
  5. Step 5: Solve for x
    x = 173,287,244,794.80/498,251.25
  6. Step 6: Final answer
    x = 347,790.89

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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.