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Finding the Fourth Proportional to 415,942.98, 574,001.31 and 224,956.37

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Solution

The fourth proportional to 415,942.98, 574,001.31 and 224,956.37 is: 310,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,942.98 : 574,001.31 = 224,956.37 : x
  2. Step 2: Convert to fraction form
    415,942.98/574,001.31 = 224,956.37/x
  3. Step 3: Cross multiply
    415,942.98x = 574,001.31 × 224,956.37
  4. Step 4: Simplify right side
    415,942.98x = 129,125,251,072.85
  5. Step 5: Solve for x
    x = 129,125,251,072.85/415,942.98
  6. Step 6: Final answer
    x = 310,439.79

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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.