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Finding the Fourth Proportional to 361,873.20, 542,809.80 and 267,394.80

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Solution

The fourth proportional to 361,873.20, 542,809.80 and 267,394.80 is: 401,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,873.20 : 542,809.80 = 267,394.80 : x
  2. Step 2: Convert to fraction form
    361,873.20/542,809.80 = 267,394.80/x
  3. Step 3: Cross multiply
    361,873.20x = 542,809.80 × 267,394.80
  4. Step 4: Simplify right side
    361,873.20x = 145,144,517,909.04
  5. Step 5: Solve for x
    x = 145,144,517,909.04/361,873.20
  6. Step 6: Final answer
    x = 401,092.20

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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.