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Finding the Fourth Proportional to 285,772.38, 394,275.85 and 178,404.58

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Solution

The fourth proportional to 285,772.38, 394,275.85 and 178,404.58 is: 246,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,772.38 : 394,275.85 = 178,404.58 : x
  2. Step 2: Convert to fraction form
    285,772.38/394,275.85 = 178,404.58/x
  3. Step 3: Cross multiply
    285,772.38x = 394,275.85 × 178,404.58
  4. Step 4: Simplify right side
    285,772.38x = 70,340,617,423.39
  5. Step 5: Solve for x
    x = 70,340,617,423.39/285,772.38
  6. Step 6: Final answer
    x = 246,142.11

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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.