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Finding the Fourth Proportional to 394,346.20, 591,908.10 and 194,891.80

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Solution

The fourth proportional to 394,346.20, 591,908.10 and 194,891.80 is: 292,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,346.20 : 591,908.10 = 194,891.80 : x
  2. Step 2: Convert to fraction form
    394,346.20/591,908.10 = 194,891.80/x
  3. Step 3: Cross multiply
    394,346.20x = 591,908.10 × 194,891.80
  4. Step 4: Simplify right side
    394,346.20x = 115,358,035,043.58
  5. Step 5: Solve for x
    x = 115,358,035,043.58/394,346.20
  6. Step 6: Final answer
    x = 292,529.85

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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.