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Finding the Fourth Proportional to 303,836.70, 419,319.14 and 167,882.52

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Solution

The fourth proportional to 303,836.70, 419,319.14 and 167,882.52 is: 231,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,836.70 : 419,319.14 = 167,882.52 : x
  2. Step 2: Convert to fraction form
    303,836.70/419,319.14 = 167,882.52/x
  3. Step 3: Cross multiply
    303,836.70x = 419,319.14 × 167,882.52
  4. Step 4: Simplify right side
    303,836.70x = 70,396,353,907.43
  5. Step 5: Solve for x
    x = 70,396,353,907.43/303,836.70
  6. Step 6: Final answer
    x = 231,691.41

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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.