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Finding the Fourth Proportional to 327,071.66, 490,797.02 and 137,517.08

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Solution

The fourth proportional to 327,071.66, 490,797.02 and 137,517.08 is: 206,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,071.66 : 490,797.02 = 137,517.08 : x
  2. Step 2: Convert to fraction form
    327,071.66/490,797.02 = 137,517.08/x
  3. Step 3: Cross multiply
    327,071.66x = 490,797.02 × 137,517.08
  4. Step 4: Simplify right side
    327,071.66x = 67,492,970,952.91
  5. Step 5: Solve for x
    x = 67,492,970,952.91/327,071.66
  6. Step 6: Final answer
    x = 206,355.30

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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.