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Finding the Fourth Proportional to 297,824.80, 447,082.80 and 179,629.60

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Solution

The fourth proportional to 297,824.80, 447,082.80 and 179,629.60 is: 269,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,824.80 : 447,082.80 = 179,629.60 : x
  2. Step 2: Convert to fraction form
    297,824.80/447,082.80 = 179,629.60/x
  3. Step 3: Cross multiply
    297,824.80x = 447,082.80 × 179,629.60
  4. Step 4: Simplify right side
    297,824.80x = 80,309,304,530.88
  5. Step 5: Solve for x
    x = 80,309,304,530.88/297,824.80
  6. Step 6: Final answer
    x = 269,652.84

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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.