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Finding the Fourth Proportional to 276,640.80, 414,961.20 and 182,162.40

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Solution

The fourth proportional to 276,640.80, 414,961.20 and 182,162.40 is: 273,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,640.80 : 414,961.20 = 182,162.40 : x
  2. Step 2: Convert to fraction form
    276,640.80/414,961.20 = 182,162.40/x
  3. Step 3: Cross multiply
    276,640.80x = 414,961.20 × 182,162.40
  4. Step 4: Simplify right side
    276,640.80x = 75,590,328,098.88
  5. Step 5: Solve for x
    x = 75,590,328,098.88/276,640.80
  6. Step 6: Final answer
    x = 273,243.60

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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.