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Finding the Fourth Proportional to 327,863.20, 491,794.80 and 187,895.20

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Solution

The fourth proportional to 327,863.20, 491,794.80 and 187,895.20 is: 281,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,863.20 : 491,794.80 = 187,895.20 : x
  2. Step 2: Convert to fraction form
    327,863.20/491,794.80 = 187,895.20/x
  3. Step 3: Cross multiply
    327,863.20x = 491,794.80 × 187,895.20
  4. Step 4: Simplify right side
    327,863.20x = 92,405,882,304.96
  5. Step 5: Solve for x
    x = 92,405,882,304.96/327,863.20
  6. Step 6: Final answer
    x = 281,842.80

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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.