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Finding the Fourth Proportional to 276,991.38, 382,163.13 and 169,449.30

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Solution

The fourth proportional to 276,991.38, 382,163.13 and 169,449.30 is: 233,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,991.38 : 382,163.13 = 169,449.30 : x
  2. Step 2: Convert to fraction form
    276,991.38/382,163.13 = 169,449.30/x
  3. Step 3: Cross multiply
    276,991.38x = 382,163.13 × 169,449.30
  4. Step 4: Simplify right side
    276,991.38x = 64,757,274,864.31
  5. Step 5: Solve for x
    x = 64,757,274,864.31/276,991.38
  6. Step 6: Final answer
    x = 233,788.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.