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Finding the Fourth Proportional to 463,141.60, 694,539.60 and 182,600.80

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Solution

The fourth proportional to 463,141.60, 694,539.60 and 182,600.80 is: 273,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,141.60 : 694,539.60 = 182,600.80 : x
  2. Step 2: Convert to fraction form
    463,141.60/694,539.60 = 182,600.80/x
  3. Step 3: Cross multiply
    463,141.60x = 694,539.60 × 182,600.80
  4. Step 4: Simplify right side
    463,141.60x = 126,823,486,591.68
  5. Step 5: Solve for x
    x = 126,823,486,591.68/463,141.60
  6. Step 6: Final answer
    x = 273,833.07

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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.