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Finding the Fourth Proportional to 394,512.40, 591,549.90 and 169,834.60

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Solution

The fourth proportional to 394,512.40, 591,549.90 and 169,834.60 is: 254,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,512.40 : 591,549.90 = 169,834.60 : x
  2. Step 2: Convert to fraction form
    394,512.40/591,549.90 = 169,834.60/x
  3. Step 3: Cross multiply
    394,512.40x = 591,549.90 × 169,834.60
  4. Step 4: Simplify right side
    394,512.40x = 100,465,640,646.54
  5. Step 5: Solve for x
    x = 100,465,640,646.54/394,512.40
  6. Step 6: Final answer
    x = 254,657.75

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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.