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Finding the Fourth Proportional to 322,431.87, 483,691.56 and 112,042.47

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Solution

The fourth proportional to 322,431.87, 483,691.56 and 112,042.47 is: 168,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,431.87 : 483,691.56 = 112,042.47 : x
  2. Step 2: Convert to fraction form
    322,431.87/483,691.56 = 112,042.47/x
  3. Step 3: Cross multiply
    322,431.87x = 483,691.56 × 112,042.47
  4. Step 4: Simplify right side
    322,431.87x = 54,193,997,100.55
  5. Step 5: Solve for x
    x = 54,193,997,100.55/322,431.87
  6. Step 6: Final answer
    x = 168,078.91

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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.