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Finding the Fourth Proportional to 378,760.26, 568,042.56 and 112,460.52

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Solution

The fourth proportional to 378,760.26, 568,042.56 and 112,460.52 is: 168,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,760.26 : 568,042.56 = 112,460.52 : x
  2. Step 2: Convert to fraction form
    378,760.26/568,042.56 = 112,460.52/x
  3. Step 3: Cross multiply
    378,760.26x = 568,042.56 × 112,460.52
  4. Step 4: Simplify right side
    378,760.26x = 63,882,361,679.73
  5. Step 5: Solve for x
    x = 63,882,361,679.73/378,760.26
  6. Step 6: Final answer
    x = 168,661.73

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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.