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Finding the Fourth Proportional to 327,892.80, 491,839.20 and 106,276.80

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Solution

The fourth proportional to 327,892.80, 491,839.20 and 106,276.80 is: 159,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,892.80 : 491,839.20 = 106,276.80 : x
  2. Step 2: Convert to fraction form
    327,892.80/491,839.20 = 106,276.80/x
  3. Step 3: Cross multiply
    327,892.80x = 491,839.20 × 106,276.80
  4. Step 4: Simplify right side
    327,892.80x = 52,271,096,290.56
  5. Step 5: Solve for x
    x = 52,271,096,290.56/327,892.80
  6. Step 6: Final answer
    x = 159,415.20

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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.