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Finding the Fourth Proportional to 497,737.40, 746,608.80 and 123,760.40

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Solution

The fourth proportional to 497,737.40, 746,608.80 and 123,760.40 is: 185,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,737.40 : 746,608.80 = 123,760.40 : x
  2. Step 2: Convert to fraction form
    497,737.40/746,608.80 = 123,760.40/x
  3. Step 3: Cross multiply
    497,737.40x = 746,608.80 × 123,760.40
  4. Step 4: Simplify right side
    497,737.40x = 92,400,603,731.52
  5. Step 5: Solve for x
    x = 92,400,603,731.52/497,737.40
  6. Step 6: Final answer
    x = 185,641.27

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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.