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Finding the Fourth Proportional to 231,709.31, 347,344.81 and 174,694.76

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Solution

The fourth proportional to 231,709.31, 347,344.81 and 174,694.76 is: 261,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,709.31 : 347,344.81 = 174,694.76 : x
  2. Step 2: Convert to fraction form
    231,709.31/347,344.81 = 174,694.76/x
  3. Step 3: Cross multiply
    231,709.31x = 347,344.81 × 174,694.76
  4. Step 4: Simplify right side
    231,709.31x = 60,679,318,220.20
  5. Step 5: Solve for x
    x = 60,679,318,220.20/231,709.31
  6. Step 6: Final answer
    x = 261,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.