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Finding the Fourth Proportional to 547,920.80, 822,034.80 and 267,447.20

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Solution

The fourth proportional to 547,920.80, 822,034.80 and 267,447.20 is: 401,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,920.80 : 822,034.80 = 267,447.20 : x
  2. Step 2: Convert to fraction form
    547,920.80/822,034.80 = 267,447.20/x
  3. Step 3: Cross multiply
    547,920.80x = 822,034.80 × 267,447.20
  4. Step 4: Simplify right side
    547,920.80x = 219,850,905,562.56
  5. Step 5: Solve for x
    x = 219,850,905,562.56/547,920.80
  6. Step 6: Final answer
    x = 401,245.77

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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.