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Finding the Fourth Proportional to 497,677.74, 746,517.20 and 123,700.74

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Solution

The fourth proportional to 497,677.74, 746,517.20 and 123,700.74 is: 185,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,677.74 : 746,517.20 = 123,700.74 : x
  2. Step 2: Convert to fraction form
    497,677.74/746,517.20 = 123,700.74/x
  3. Step 3: Cross multiply
    497,677.74x = 746,517.20 × 123,700.74
  4. Step 4: Simplify right side
    497,677.74x = 92,344,730,062.73
  5. Step 5: Solve for x
    x = 92,344,730,062.73/497,677.74
  6. Step 6: Final answer
    x = 185,551.26

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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.