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Finding the Fourth Proportional to 408,662.47, 563,939.96 and 224,883.87

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Solution

The fourth proportional to 408,662.47, 563,939.96 and 224,883.87 is: 310,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,662.47 : 563,939.96 = 224,883.87 : x
  2. Step 2: Convert to fraction form
    408,662.47/563,939.96 = 224,883.87/x
  3. Step 3: Cross multiply
    408,662.47x = 563,939.96 × 224,883.87
  4. Step 4: Simplify right side
    408,662.47x = 126,821,000,652.45
  5. Step 5: Solve for x
    x = 126,821,000,652.45/408,662.47
  6. Step 6: Final answer
    x = 310,331.90

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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.