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Finding the Fourth Proportional to 362,542.80, 543,295.80 and 267,027.60

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Solution

The fourth proportional to 362,542.80, 543,295.80 and 267,027.60 is: 400,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,542.80 : 543,295.80 = 267,027.60 : x
  2. Step 2: Convert to fraction form
    362,542.80/543,295.80 = 267,027.60/x
  3. Step 3: Cross multiply
    362,542.80x = 543,295.80 × 267,027.60
  4. Step 4: Simplify right side
    362,542.80x = 145,074,973,564.08
  5. Step 5: Solve for x
    x = 145,074,973,564.08/362,542.80
  6. Step 6: Final answer
    x = 400,159.58

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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.