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Finding the Fourth Proportional to 408,552.97, 563,807.39 and 224,793.93

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Solution

The fourth proportional to 408,552.97, 563,807.39 and 224,793.93 is: 310,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,552.97 : 563,807.39 = 224,793.93 : x
  2. Step 2: Convert to fraction form
    408,552.97/563,807.39 = 224,793.93/x
  3. Step 3: Cross multiply
    408,552.97x = 563,807.39 × 224,793.93
  4. Step 4: Simplify right side
    408,552.97x = 126,740,478,961.14
  5. Step 5: Solve for x
    x = 126,740,478,961.14/408,552.97
  6. Step 6: Final answer
    x = 310,217.98

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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.