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Finding the Fourth Proportional to 299,251.28, 412,966.79 and 191,821.52

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Solution

The fourth proportional to 299,251.28, 412,966.79 and 191,821.52 is: 264,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,251.28 : 412,966.79 = 191,821.52 : x
  2. Step 2: Convert to fraction form
    299,251.28/412,966.79 = 191,821.52/x
  3. Step 3: Cross multiply
    299,251.28x = 412,966.79 × 191,821.52
  4. Step 4: Simplify right side
    299,251.28x = 79,215,914,343.38
  5. Step 5: Solve for x
    x = 79,215,914,343.38/299,251.28
  6. Step 6: Final answer
    x = 264,713.71

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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.