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Finding the Fourth Proportional to 362,463.80, 543,177.30 and 266,948.60

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Solution

The fourth proportional to 362,463.80, 543,177.30 and 266,948.60 is: 400,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,463.80 : 543,177.30 = 266,948.60 : x
  2. Step 2: Convert to fraction form
    362,463.80/543,177.30 = 266,948.60/x
  3. Step 3: Cross multiply
    362,463.80x = 543,177.30 × 266,948.60
  4. Step 4: Simplify right side
    362,463.80x = 145,000,419,786.78
  5. Step 5: Solve for x
    x = 145,000,419,786.78/362,463.80
  6. Step 6: Final answer
    x = 400,041.11

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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.