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Finding the Fourth Proportional to 649,872.26, 974,433.17 and 200,472.47

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Solution

The fourth proportional to 649,872.26, 974,433.17 and 200,472.47 is: 300,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,872.26 : 974,433.17 = 200,472.47 : x
  2. Step 2: Convert to fraction form
    649,872.26/974,433.17 = 200,472.47/x
  3. Step 3: Cross multiply
    649,872.26x = 974,433.17 × 200,472.47
  4. Step 4: Simplify right side
    649,872.26x = 195,347,018,565.30
  5. Step 5: Solve for x
    x = 195,347,018,565.30/649,872.26
  6. Step 6: Final answer
    x = 300,592.95

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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.