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Finding the Fourth Proportional to 398,198.44, 597,371.28 and 113,876.92

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Solution

The fourth proportional to 398,198.44, 597,371.28 and 113,876.92 is: 170,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,198.44 : 597,371.28 = 113,876.92 : x
  2. Step 2: Convert to fraction form
    398,198.44/597,371.28 = 113,876.92/x
  3. Step 3: Cross multiply
    398,198.44x = 597,371.28 × 113,876.92
  4. Step 4: Simplify right side
    398,198.44x = 68,026,801,462.86
  5. Step 5: Solve for x
    x = 68,026,801,462.86/398,198.44
  6. Step 6: Final answer
    x = 170,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.