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Finding the Fourth Proportional to 325,321.95, 448,944.24 and 182,082

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Solution

The fourth proportional to 325,321.95, 448,944.24 and 182,082 is: 251,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,321.95 : 448,944.24 = 182,082 : x
  2. Step 2: Convert to fraction form
    325,321.95/448,944.24 = 182,082/x
  3. Step 3: Cross multiply
    325,321.95x = 448,944.24 × 182,082
  4. Step 4: Simplify right side
    325,321.95x = 81,744,665,107.68
  5. Step 5: Solve for x
    x = 81,744,665,107.68/325,321.95
  6. Step 6: Final answer
    x = 251,273.13

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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.