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Finding the Fourth Proportional to 400,381.92, 600,397.92 and 119,833.56

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Solution

The fourth proportional to 400,381.92, 600,397.92 and 119,833.56 is: 179,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,381.92 : 600,397.92 = 119,833.56 : x
  2. Step 2: Convert to fraction form
    400,381.92/600,397.92 = 119,833.56/x
  3. Step 3: Cross multiply
    400,381.92x = 600,397.92 × 119,833.56
  4. Step 4: Simplify right side
    400,381.92x = 71,947,820,170.20
  5. Step 5: Solve for x
    x = 71,947,820,170.20/400,381.92
  6. Step 6: Final answer
    x = 179,697.97

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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.