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Finding the Fourth Proportional to 378,256.80, 567,452.28 and 125,552.40

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Solution

The fourth proportional to 378,256.80, 567,452.28 and 125,552.40 is: 188,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,256.80 : 567,452.28 = 125,552.40 : x
  2. Step 2: Convert to fraction form
    378,256.80/567,452.28 = 125,552.40/x
  3. Step 3: Cross multiply
    378,256.80x = 567,452.28 × 125,552.40
  4. Step 4: Simplify right side
    378,256.80x = 71,244,995,639.47
  5. Step 5: Solve for x
    x = 71,244,995,639.47/378,256.80
  6. Step 6: Final answer
    x = 188,350.87

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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.