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Finding the Fourth Proportional to 415,944.36, 574,003.20 and 224,957.73

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Solution

The fourth proportional to 415,944.36, 574,003.20 and 224,957.73 is: 310,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,944.36 : 574,003.20 = 224,957.73 : x
  2. Step 2: Convert to fraction form
    415,944.36/574,003.20 = 224,957.73/x
  3. Step 3: Cross multiply
    415,944.36x = 574,003.20 × 224,957.73
  4. Step 4: Simplify right side
    415,944.36x = 129,126,456,884.74
  5. Step 5: Solve for x
    x = 129,126,456,884.74/415,944.36
  6. Step 6: Final answer
    x = 310,441.66

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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.