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Finding the Fourth Proportional to 408,644.34, 563,914.98 and 224,865.73

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Solution

The fourth proportional to 408,644.34, 563,914.98 and 224,865.73 is: 310,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,644.34 : 563,914.98 = 224,865.73 : x
  2. Step 2: Convert to fraction form
    408,644.34/563,914.98 = 224,865.73/x
  3. Step 3: Cross multiply
    408,644.34x = 563,914.98 × 224,865.73
  4. Step 4: Simplify right side
    408,644.34x = 126,805,153,635.64
  5. Step 5: Solve for x
    x = 126,805,153,635.64/408,644.34
  6. Step 6: Final answer
    x = 310,306.89

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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.