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Finding the Fourth Proportional to 312,781.38, 431,599.66 and 222,104.31

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Solution

The fourth proportional to 312,781.38, 431,599.66 and 222,104.31 is: 306,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,781.38 : 431,599.66 = 222,104.31 : x
  2. Step 2: Convert to fraction form
    312,781.38/431,599.66 = 222,104.31/x
  3. Step 3: Cross multiply
    312,781.38x = 431,599.66 × 222,104.31
  4. Step 4: Simplify right side
    312,781.38x = 95,860,144,680.53
  5. Step 5: Solve for x
    x = 95,860,144,680.53/312,781.38
  6. Step 6: Final answer
    x = 306,476.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.