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Finding the Fourth Proportional to 361,687.97, 542,653.46 and 253,729.83

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Solution

The fourth proportional to 361,687.97, 542,653.46 and 253,729.83 is: 380,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,687.97 : 542,653.46 = 253,729.83 : x
  2. Step 2: Convert to fraction form
    361,687.97/542,653.46 = 253,729.83/x
  3. Step 3: Cross multiply
    361,687.97x = 542,653.46 × 253,729.83
  4. Step 4: Simplify right side
    361,687.97x = 137,687,370,154.71
  5. Step 5: Solve for x
    x = 137,687,370,154.71/361,687.97
  6. Step 6: Final answer
    x = 380,679.98

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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.