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Finding the Fourth Proportional to 231,327.60, 347,682.60 and 200,914.80

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Solution

The fourth proportional to 231,327.60, 347,682.60 and 200,914.80 is: 301,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,327.60 : 347,682.60 = 200,914.80 : x
  2. Step 2: Convert to fraction form
    231,327.60/347,682.60 = 200,914.80/x
  3. Step 3: Cross multiply
    231,327.60x = 347,682.60 × 200,914.80
  4. Step 4: Simplify right side
    231,327.60x = 69,854,580,042.48
  5. Step 5: Solve for x
    x = 69,854,580,042.48/231,327.60
  6. Step 6: Final answer
    x = 301,972.53

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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.