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Finding the Fourth Proportional to 276,932.39, 416,265.65 and 182,767.70

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Solution

The fourth proportional to 276,932.39, 416,265.65 and 182,767.70 is: 274,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,932.39 : 416,265.65 = 182,767.70 : x
  2. Step 2: Convert to fraction form
    276,932.39/416,265.65 = 182,767.70/x
  3. Step 3: Cross multiply
    276,932.39x = 416,265.65 × 182,767.70
  4. Step 4: Simplify right side
    276,932.39x = 76,079,914,525.67
  5. Step 5: Solve for x
    x = 76,079,914,525.67/276,932.39
  6. Step 6: Final answer
    x = 274,723.79

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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.