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Finding the Fourth Proportional to 344,140.70, 515,959.41 and 231,540.98

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Solution

The fourth proportional to 344,140.70, 515,959.41 and 231,540.98 is: 347,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,140.70 : 515,959.41 = 231,540.98 : x
  2. Step 2: Convert to fraction form
    344,140.70/515,959.41 = 231,540.98/x
  3. Step 3: Cross multiply
    344,140.70x = 515,959.41 × 231,540.98
  4. Step 4: Simplify right side
    344,140.70x = 119,465,747,431.62
  5. Step 5: Solve for x
    x = 119,465,747,431.62/344,140.70
  6. Step 6: Final answer
    x = 347,142.16

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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.