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Finding the Fourth Proportional to 449,757.20, 674,203.80 and 260,022.80

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Solution

The fourth proportional to 449,757.20, 674,203.80 and 260,022.80 is: 389,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,757.20 : 674,203.80 = 260,022.80 : x
  2. Step 2: Convert to fraction form
    449,757.20/674,203.80 = 260,022.80/x
  3. Step 3: Cross multiply
    449,757.20x = 674,203.80 × 260,022.80
  4. Step 4: Simplify right side
    449,757.20x = 175,308,359,846.64
  5. Step 5: Solve for x
    x = 175,308,359,846.64/449,757.20
  6. Step 6: Final answer
    x = 389,784.44

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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.