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Finding the Fourth Proportional to 463,741.38, 694,706.22 and 319,621.41

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Solution

The fourth proportional to 463,741.38, 694,706.22 and 319,621.41 is: 478,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,741.38 : 694,706.22 = 319,621.41 : x
  2. Step 2: Convert to fraction form
    463,741.38/694,706.22 = 319,621.41/x
  3. Step 3: Cross multiply
    463,741.38x = 694,706.22 × 319,621.41
  4. Step 4: Simplify right side
    463,741.38x = 222,042,981,572.17
  5. Step 5: Solve for x
    x = 222,042,981,572.17/463,741.38
  6. Step 6: Final answer
    x = 478,807.78

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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.