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Finding the Fourth Proportional to 449,494.60, 674,241.90 and 408,022.60

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Solution

The fourth proportional to 449,494.60, 674,241.90 and 408,022.60 is: 612,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,494.60 : 674,241.90 = 408,022.60 : x
  2. Step 2: Convert to fraction form
    449,494.60/674,241.90 = 408,022.60/x
  3. Step 3: Cross multiply
    449,494.60x = 674,241.90 × 408,022.60
  4. Step 4: Simplify right side
    449,494.60x = 275,105,933,066.94
  5. Step 5: Solve for x
    x = 275,105,933,066.94/449,494.60
  6. Step 6: Final answer
    x = 612,033.90

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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.