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Finding the Fourth Proportional to 361,932.60, 542,963.70 and 151,591.80

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Solution

The fourth proportional to 361,932.60, 542,963.70 and 151,591.80 is: 227,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,932.60 : 542,963.70 = 151,591.80 : x
  2. Step 2: Convert to fraction form
    361,932.60/542,963.70 = 151,591.80/x
  3. Step 3: Cross multiply
    361,932.60x = 542,963.70 × 151,591.80
  4. Step 4: Simplify right side
    361,932.60x = 82,308,844,617.66
  5. Step 5: Solve for x
    x = 82,308,844,617.66/361,932.60
  6. Step 6: Final answer
    x = 227,414.84

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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.