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Finding the Fourth Proportional to 408,359.58, 563,539.83 and 224,601.78

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Solution

The fourth proportional to 408,359.58, 563,539.83 and 224,601.78 is: 309,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,359.58 : 563,539.83 = 224,601.78 : x
  2. Step 2: Convert to fraction form
    408,359.58/563,539.83 = 224,601.78/x
  3. Step 3: Cross multiply
    408,359.58x = 563,539.83 × 224,601.78
  4. Step 4: Simplify right side
    408,359.58x = 126,572,048,918.90
  5. Step 5: Solve for x
    x = 126,572,048,918.90/408,359.58
  6. Step 6: Final answer
    x = 309,952.44

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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.