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Finding the Fourth Proportional to 497,710.13, 746,567.92 and 123,733.13

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Solution

The fourth proportional to 497,710.13, 746,567.92 and 123,733.13 is: 185,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,710.13 : 746,567.92 = 123,733.13 : x
  2. Step 2: Convert to fraction form
    497,710.13/746,567.92 = 123,733.13/x
  3. Step 3: Cross multiply
    497,710.13x = 746,567.92 × 123,733.13
  4. Step 4: Simplify right side
    497,710.13x = 92,375,181,921.02
  5. Step 5: Solve for x
    x = 92,375,181,921.02/497,710.13
  6. Step 6: Final answer
    x = 185,600.37

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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.