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Finding the Fourth Proportional to 362,584.80, 543,358.80 and 267,069.60

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Solution

The fourth proportional to 362,584.80, 543,358.80 and 267,069.60 is: 400,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,584.80 : 543,358.80 = 267,069.60 : x
  2. Step 2: Convert to fraction form
    362,584.80/543,358.80 = 267,069.60/x
  3. Step 3: Cross multiply
    362,584.80x = 543,358.80 × 267,069.60
  4. Step 4: Simplify right side
    362,584.80x = 145,114,617,372.48
  5. Step 5: Solve for x
    x = 145,114,617,372.48/362,584.80
  6. Step 6: Final answer
    x = 400,222.56

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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.