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Finding the Fourth Proportional to 231,969.60, 347,954.40 and 205,531.20

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Solution

The fourth proportional to 231,969.60, 347,954.40 and 205,531.20 is: 308,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,969.60 : 347,954.40 = 205,531.20 : x
  2. Step 2: Convert to fraction form
    231,969.60/347,954.40 = 205,531.20/x
  3. Step 3: Cross multiply
    231,969.60x = 347,954.40 × 205,531.20
  4. Step 4: Simplify right side
    231,969.60x = 71,515,485,377.28
  5. Step 5: Solve for x
    x = 71,515,485,377.28/231,969.60
  6. Step 6: Final answer
    x = 308,296.80

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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.