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Finding the Fourth Proportional to 327,718.30, 491,695.83 and 114,517.69

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Solution

The fourth proportional to 327,718.30, 491,695.83 and 114,517.69 is: 171,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,718.30 : 491,695.83 = 114,517.69 : x
  2. Step 2: Convert to fraction form
    327,718.30/491,695.83 = 114,517.69/x
  3. Step 3: Cross multiply
    327,718.30x = 491,695.83 × 114,517.69
  4. Step 4: Simplify right side
    327,718.30x = 56,307,869,404.99
  5. Step 5: Solve for x
    x = 56,307,869,404.99/327,718.30
  6. Step 6: Final answer
    x = 171,817.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.