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Finding the Fourth Proportional to 299,464.80, 449,197.20 and 293,559.90

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Solution

The fourth proportional to 299,464.80, 449,197.20 and 293,559.90 is: 440,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,464.80 : 449,197.20 = 293,559.90 : x
  2. Step 2: Convert to fraction form
    299,464.80/449,197.20 = 293,559.90/x
  3. Step 3: Cross multiply
    299,464.80x = 449,197.20 × 293,559.90
  4. Step 4: Simplify right side
    299,464.80x = 131,866,285,112.28
  5. Step 5: Solve for x
    x = 131,866,285,112.28/299,464.80
  6. Step 6: Final answer
    x = 440,339.85

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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.