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Finding the Fourth Proportional to 276,847.38, 414,928.44 and 196,757.69

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Solution

The fourth proportional to 276,847.38, 414,928.44 and 196,757.69 is: 294,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,847.38 : 414,928.44 = 196,757.69 : x
  2. Step 2: Convert to fraction form
    276,847.38/414,928.44 = 196,757.69/x
  3. Step 3: Cross multiply
    276,847.38x = 414,928.44 × 196,757.69
  4. Step 4: Simplify right side
    276,847.38x = 81,640,359,295.06
  5. Step 5: Solve for x
    x = 81,640,359,295.06/276,847.38
  6. Step 6: Final answer
    x = 294,893.02

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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.