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Finding the Fourth Proportional to 408,076.70, 612,115.05 and 275,366.30

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Solution

The fourth proportional to 408,076.70, 612,115.05 and 275,366.30 is: 413,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076.70 : 612,115.05 = 275,366.30 : x
  2. Step 2: Convert to fraction form
    408,076.70/612,115.05 = 275,366.30/x
  3. Step 3: Cross multiply
    408,076.70x = 612,115.05 × 275,366.30
  4. Step 4: Simplify right side
    408,076.70x = 168,555,856,492.82
  5. Step 5: Solve for x
    x = 168,555,856,492.82/408,076.70
  6. Step 6: Final answer
    x = 413,049.45

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