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Finding the Fourth Proportional to 394,461.40, 591,546.30 and 128,230.60

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Solution

The fourth proportional to 394,461.40, 591,546.30 and 128,230.60 is: 192,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,461.40 : 591,546.30 = 128,230.60 : x
  2. Step 2: Convert to fraction form
    394,461.40/591,546.30 = 128,230.60/x
  3. Step 3: Cross multiply
    394,461.40x = 591,546.30 × 128,230.60
  4. Step 4: Simplify right side
    394,461.40x = 75,854,336,976.78
  5. Step 5: Solve for x
    x = 75,854,336,976.78/394,461.40
  6. Step 6: Final answer
    x = 192,298.50

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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.