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Finding the Fourth Proportional to 347,376.74, 479,227.70 and 204,072.14

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Solution

The fourth proportional to 347,376.74, 479,227.70 and 204,072.14 is: 281,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,376.74 : 479,227.70 = 204,072.14 : x
  2. Step 2: Convert to fraction form
    347,376.74/479,227.70 = 204,072.14/x
  3. Step 3: Cross multiply
    347,376.74x = 479,227.70 × 204,072.14
  4. Step 4: Simplify right side
    347,376.74x = 97,797,022,286.28
  5. Step 5: Solve for x
    x = 97,797,022,286.28/347,376.74
  6. Step 6: Final answer
    x = 281,530.14

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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.