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Finding the Fourth Proportional to 285,876.92, 394,380.78 and 178,473.44

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Solution

The fourth proportional to 285,876.92, 394,380.78 and 178,473.44 is: 246,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,876.92 : 394,380.78 = 178,473.44 : x
  2. Step 2: Convert to fraction form
    285,876.92/394,380.78 = 178,473.44/x
  3. Step 3: Cross multiply
    285,876.92x = 394,380.78 × 178,473.44
  4. Step 4: Simplify right side
    285,876.92x = 70,386,494,476.48
  5. Step 5: Solve for x
    x = 70,386,494,476.48/285,876.92
  6. Step 6: Final answer
    x = 246,212.58

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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.