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Finding the Fourth Proportional to 408,158.72, 563,269.44 and 224,395.04

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Solution

The fourth proportional to 408,158.72, 563,269.44 and 224,395.04 is: 309,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,158.72 : 563,269.44 = 224,395.04 : x
  2. Step 2: Convert to fraction form
    408,158.72/563,269.44 = 224,395.04/x
  3. Step 3: Cross multiply
    408,158.72x = 563,269.44 × 224,395.04
  4. Step 4: Simplify right side
    408,158.72x = 126,394,868,519.58
  5. Step 5: Solve for x
    x = 126,394,868,519.58/408,158.72
  6. Step 6: Final answer
    x = 309,670.88

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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.