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Finding the Fourth Proportional to 297,942.80, 447,259.80 and 179,747.60

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Solution

The fourth proportional to 297,942.80, 447,259.80 and 179,747.60 is: 269,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,942.80 : 447,259.80 = 179,747.60 : x
  2. Step 2: Convert to fraction form
    297,942.80/447,259.80 = 179,747.60/x
  3. Step 3: Cross multiply
    297,942.80x = 447,259.80 × 179,747.60
  4. Step 4: Simplify right side
    297,942.80x = 80,393,875,626.48
  5. Step 5: Solve for x
    x = 80,393,875,626.48/297,942.80
  6. Step 6: Final answer
    x = 269,829.90

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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.