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Finding the Fourth Proportional to 287,584.38, 396,607.46 and 180,163.80

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Solution

The fourth proportional to 287,584.38, 396,607.46 and 180,163.80 is: 248,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.38 : 396,607.46 = 180,163.80 : x
  2. Step 2: Convert to fraction form
    287,584.38/396,607.46 = 180,163.80/x
  3. Step 3: Cross multiply
    287,584.38x = 396,607.46 × 180,163.80
  4. Step 4: Simplify right side
    287,584.38x = 71,454,306,201.13
  5. Step 5: Solve for x
    x = 71,454,306,201.13/287,584.38
  6. Step 6: Final answer
    x = 248,463.79

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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.