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Finding the Fourth Proportional to 263,143.80, 394,910.10 and 174,367.80

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Solution

The fourth proportional to 263,143.80, 394,910.10 and 174,367.80 is: 261,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,143.80 : 394,910.10 = 174,367.80 : x
  2. Step 2: Convert to fraction form
    263,143.80/394,910.10 = 174,367.80/x
  3. Step 3: Cross multiply
    263,143.80x = 394,910.10 × 174,367.80
  4. Step 4: Simplify right side
    263,143.80x = 68,859,605,334.78
  5. Step 5: Solve for x
    x = 68,859,605,334.78/263,143.80
  6. Step 6: Final answer
    x = 261,680.52

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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.