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Finding the Fourth Proportional to 497,677.24, 746,516.45 and 123,700.24

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Solution

The fourth proportional to 497,677.24, 746,516.45 and 123,700.24 is: 185,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,677.24 : 746,516.45 = 123,700.24 : x
  2. Step 2: Convert to fraction form
    497,677.24/746,516.45 = 123,700.24/x
  3. Step 3: Cross multiply
    497,677.24x = 746,516.45 × 123,700.24
  4. Step 4: Simplify right side
    497,677.24x = 92,344,264,028.95
  5. Step 5: Solve for x
    x = 92,344,264,028.95/497,677.24
  6. Step 6: Final answer
    x = 185,550.51

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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.