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Finding the Fourth Proportional to 481,200.80, 664,043.87 and 274,464.50

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Solution

The fourth proportional to 481,200.80, 664,043.87 and 274,464.50 is: 378,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,200.80 : 664,043.87 = 274,464.50 : x
  2. Step 2: Convert to fraction form
    481,200.80/664,043.87 = 274,464.50/x
  3. Step 3: Cross multiply
    481,200.80x = 664,043.87 × 274,464.50
  4. Step 4: Simplify right side
    481,200.80x = 182,256,469,858.80
  5. Step 5: Solve for x
    x = 182,256,469,858.80/481,200.80
  6. Step 6: Final answer
    x = 378,753.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.