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Finding the Fourth Proportional to 297,843.40, 446,765.10 and 196,366.60

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Solution

The fourth proportional to 297,843.40, 446,765.10 and 196,366.60 is: 294,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,843.40 : 446,765.10 = 196,366.60 : x
  2. Step 2: Convert to fraction form
    297,843.40/446,765.10 = 196,366.60/x
  3. Step 3: Cross multiply
    297,843.40x = 446,765.10 × 196,366.60
  4. Step 4: Simplify right side
    297,843.40x = 87,729,743,685.66
  5. Step 5: Solve for x
    x = 87,729,743,685.66/297,843.40
  6. Step 6: Final answer
    x = 294,549.90

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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.