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Finding the Fourth Proportional to 465,231.38, 641,713.11 and 335,954.57

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Solution

The fourth proportional to 465,231.38, 641,713.11 and 335,954.57 is: 463,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,231.38 : 641,713.11 = 335,954.57 : x
  2. Step 2: Convert to fraction form
    465,231.38/641,713.11 = 335,954.57/x
  3. Step 3: Cross multiply
    465,231.38x = 641,713.11 × 335,954.57
  4. Step 4: Simplify right side
    465,231.38x = 215,586,451,933.41
  5. Step 5: Solve for x
    x = 215,586,451,933.41/465,231.38
  6. Step 6: Final answer
    x = 463,396.20

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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.