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Finding the Fourth Proportional to 274,648.40, 411,972.60 and 108,414.80

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Solution

The fourth proportional to 274,648.40, 411,972.60 and 108,414.80 is: 162,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,648.40 : 411,972.60 = 108,414.80 : x
  2. Step 2: Convert to fraction form
    274,648.40/411,972.60 = 108,414.80/x
  3. Step 3: Cross multiply
    274,648.40x = 411,972.60 × 108,414.80
  4. Step 4: Simplify right side
    274,648.40x = 44,663,927,034.48
  5. Step 5: Solve for x
    x = 44,663,927,034.48/274,648.40
  6. Step 6: Final answer
    x = 162,622.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.