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Finding the Fourth Proportional to 378,562.38, 522,415.08 and 217,427.87

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Solution

The fourth proportional to 378,562.38, 522,415.08 and 217,427.87 is: 300,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,562.38 : 522,415.08 = 217,427.87 : x
  2. Step 2: Convert to fraction form
    378,562.38/522,415.08 = 217,427.87/x
  3. Step 3: Cross multiply
    378,562.38x = 522,415.08 × 217,427.87
  4. Step 4: Simplify right side
    378,562.38x = 113,587,595,488.20
  5. Step 5: Solve for x
    x = 113,587,595,488.20/378,562.38
  6. Step 6: Final answer
    x = 300,049.88

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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.