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Finding the Fourth Proportional to 462,398.92, 693,992.04 and 182,113

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Solution

The fourth proportional to 462,398.92, 693,992.04 and 182,113 is: 273,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,398.92 : 693,992.04 = 182,113 : x
  2. Step 2: Convert to fraction form
    462,398.92/693,992.04 = 182,113/x
  3. Step 3: Cross multiply
    462,398.92x = 693,992.04 × 182,113
  4. Step 4: Simplify right side
    462,398.92x = 126,384,972,380.52
  5. Step 5: Solve for x
    x = 126,384,972,380.52/462,398.92
  6. Step 6: Final answer
    x = 273,324.54

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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.