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Finding the Fourth Proportional to 274,469.20, 410,901.90 and 195,737.20

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Solution

The fourth proportional to 274,469.20, 410,901.90 and 195,737.20 is: 293,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,469.20 : 410,901.90 = 195,737.20 : x
  2. Step 2: Convert to fraction form
    274,469.20/410,901.90 = 195,737.20/x
  3. Step 3: Cross multiply
    274,469.20x = 410,901.90 × 195,737.20
  4. Step 4: Simplify right side
    274,469.20x = 80,428,787,380.68
  5. Step 5: Solve for x
    x = 80,428,787,380.68/274,469.20
  6. Step 6: Final answer
    x = 293,033.93

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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.