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Finding the Fourth Proportional to 394,460.40, 591,544.80 and 128,229.60

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Solution

The fourth proportional to 394,460.40, 591,544.80 and 128,229.60 is: 192,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,460.40 : 591,544.80 = 128,229.60 : x
  2. Step 2: Convert to fraction form
    394,460.40/591,544.80 = 128,229.60/x
  3. Step 3: Cross multiply
    394,460.40x = 591,544.80 × 128,229.60
  4. Step 4: Simplify right side
    394,460.40x = 75,853,553,086.08
  5. Step 5: Solve for x
    x = 75,853,553,086.08/394,460.40
  6. Step 6: Final answer
    x = 192,297.00

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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.