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Finding the Fourth Proportional to 457,894.52, 686,834.48 and 125,470.52

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Solution

The fourth proportional to 457,894.52, 686,834.48 and 125,470.52 is: 188,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,894.52 : 686,834.48 = 125,470.52 : x
  2. Step 2: Convert to fraction form
    457,894.52/686,834.48 = 125,470.52/x
  3. Step 3: Cross multiply
    457,894.52x = 686,834.48 × 125,470.52
  4. Step 4: Simplify right side
    457,894.52x = 86,177,479,359.53
  5. Step 5: Solve for x
    x = 86,177,479,359.53/457,894.52
  6. Step 6: Final answer
    x = 188,203.78

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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.