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Finding the Fourth Proportional to 276,314.19, 414,471.26 and 76,634.57

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Solution

The fourth proportional to 276,314.19, 414,471.26 and 76,634.57 is: 114,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,314.19 : 414,471.26 = 76,634.57 : x
  2. Step 2: Convert to fraction form
    276,314.19/414,471.26 = 76,634.57/x
  3. Step 3: Cross multiply
    276,314.19x = 414,471.26 × 76,634.57
  4. Step 4: Simplify right side
    276,314.19x = 31,762,826,787.46
  5. Step 5: Solve for x
    x = 31,762,826,787.46/276,314.19
  6. Step 6: Final answer
    x = 114,951.85

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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.