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Finding the Fourth Proportional to 325,226.38, 448,797.75 and 180,037.60

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Solution

The fourth proportional to 325,226.38, 448,797.75 and 180,037.60 is: 248,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,226.38 : 448,797.75 = 180,037.60 : x
  2. Step 2: Convert to fraction form
    325,226.38/448,797.75 = 180,037.60/x
  3. Step 3: Cross multiply
    325,226.38x = 448,797.75 × 180,037.60
  4. Step 4: Simplify right side
    325,226.38x = 80,800,469,795.40
  5. Step 5: Solve for x
    x = 80,800,469,795.40/325,226.38
  6. Step 6: Final answer
    x = 248,443.78

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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.