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Finding the Fourth Proportional to 408,180.53, 563,295.89 and 224,426.88

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Solution

The fourth proportional to 408,180.53, 563,295.89 and 224,426.88 is: 309,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,180.53 : 563,295.89 = 224,426.88 : x
  2. Step 2: Convert to fraction form
    408,180.53/563,295.89 = 224,426.88/x
  3. Step 3: Cross multiply
    408,180.53x = 563,295.89 × 224,426.88
  4. Step 4: Simplify right side
    408,180.53x = 126,418,739,670.59
  5. Step 5: Solve for x
    x = 126,418,739,670.59/408,180.53
  6. Step 6: Final answer
    x = 309,712.81

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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.