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Finding the Fourth Proportional to 321,343.68, 482,354.72 and 314,105.57

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Solution

The fourth proportional to 321,343.68, 482,354.72 and 314,105.57 is: 471,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,343.68 : 482,354.72 = 314,105.57 : x
  2. Step 2: Convert to fraction form
    321,343.68/482,354.72 = 314,105.57/x
  3. Step 3: Cross multiply
    321,343.68x = 482,354.72 × 314,105.57
  4. Step 4: Simplify right side
    321,343.68x = 151,510,304,979.91
  5. Step 5: Solve for x
    x = 151,510,304,979.91/321,343.68
  6. Step 6: Final answer
    x = 471,489.91

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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.