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Finding the Fourth Proportional to 408,737.82, 613,148.54 and 156,230.85

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Solution

The fourth proportional to 408,737.82, 613,148.54 and 156,230.85 is: 234,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,737.82 : 613,148.54 = 156,230.85 : x
  2. Step 2: Convert to fraction form
    408,737.82/613,148.54 = 156,230.85/x
  3. Step 3: Cross multiply
    408,737.82x = 613,148.54 × 156,230.85
  4. Step 4: Simplify right side
    408,737.82x = 95,792,717,580.46
  5. Step 5: Solve for x
    x = 95,792,717,580.46/408,737.82
  6. Step 6: Final answer
    x = 234,362.26

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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.