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Finding the Fourth Proportional to 408,297.11, 563,456.55 and 224,542.94

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Solution

The fourth proportional to 408,297.11, 563,456.55 and 224,542.94 is: 309,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,297.11 : 563,456.55 = 224,542.94 : x
  2. Step 2: Convert to fraction form
    408,297.11/563,456.55 = 224,542.94/x
  3. Step 3: Cross multiply
    408,297.11x = 563,456.55 × 224,542.94
  4. Step 4: Simplify right side
    408,297.11x = 126,520,188,324.01
  5. Step 5: Solve for x
    x = 126,520,188,324.01/408,297.11
  6. Step 6: Final answer
    x = 309,872.85

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Why These Related Problems?

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