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Finding the Fourth Proportional to 408,086.37, 563,158.17 and 224,323.70

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Solution

The fourth proportional to 408,086.37, 563,158.17 and 224,323.70 is: 309,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086.37 : 563,158.17 = 224,323.70 : x
  2. Step 2: Convert to fraction form
    408,086.37/563,158.17 = 224,323.70/x
  3. Step 3: Cross multiply
    408,086.37x = 563,158.17 × 224,323.70
  4. Step 4: Simplify right side
    408,086.37x = 126,329,721,563.84
  5. Step 5: Solve for x
    x = 126,329,721,563.84/408,086.37
  6. Step 6: Final answer
    x = 309,566.14

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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.