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Finding the Fourth Proportional to 297,770.80, 446,560.20 and 98,043.64

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Solution

The fourth proportional to 297,770.80, 446,560.20 and 98,043.64 is: 147,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,770.80 : 446,560.20 = 98,043.64 : x
  2. Step 2: Convert to fraction form
    297,770.80/446,560.20 = 98,043.64/x
  3. Step 3: Cross multiply
    297,770.80x = 446,560.20 × 98,043.64
  4. Step 4: Simplify right side
    297,770.80x = 43,782,387,487.13
  5. Step 5: Solve for x
    x = 43,782,387,487.13/297,770.80
  6. Step 6: Final answer
    x = 147,033.85

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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.