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Finding the Fourth Proportional to 408,593.27, 563,863.14 and 224,834.24

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Solution

The fourth proportional to 408,593.27, 563,863.14 and 224,834.24 is: 310,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,593.27 : 563,863.14 = 224,834.24 : x
  2. Step 2: Convert to fraction form
    408,593.27/563,863.14 = 224,834.24/x
  3. Step 3: Cross multiply
    408,593.27x = 563,863.14 × 224,834.24
  4. Step 4: Simplify right side
    408,593.27x = 126,775,741,955.57
  5. Step 5: Solve for x
    x = 126,775,741,955.57/408,593.27
  6. Step 6: Final answer
    x = 310,273.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.