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Finding the Fourth Proportional to 276,312.82, 414,469.20 and 76,633.20

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Solution

The fourth proportional to 276,312.82, 414,469.20 and 76,633.20 is: 114,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,312.82 : 414,469.20 = 76,633.20 : x
  2. Step 2: Convert to fraction form
    276,312.82/414,469.20 = 76,633.20/x
  3. Step 3: Cross multiply
    276,312.82x = 414,469.20 × 76,633.20
  4. Step 4: Simplify right side
    276,312.82x = 31,762,098,641.93
  5. Step 5: Solve for x
    x = 31,762,098,641.93/276,312.82
  6. Step 6: Final answer
    x = 114,949.78

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1.5x scale

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.