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Finding the Fourth Proportional to 462,382.14, 693,713.04 and 327,706.68

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Solution

The fourth proportional to 462,382.14, 693,713.04 and 327,706.68 is: 491,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,382.14 : 693,713.04 = 327,706.68 : x
  2. Step 2: Convert to fraction form
    462,382.14/693,713.04 = 327,706.68/x
  3. Step 3: Cross multiply
    462,382.14x = 693,713.04 × 327,706.68
  4. Step 4: Simplify right side
    462,382.14x = 227,334,397,211.11
  5. Step 5: Solve for x
    x = 227,334,397,211.11/462,382.14
  6. Step 6: Final answer
    x = 491,659.12

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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.