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Finding the Fourth Proportional to 325,382.67, 449,023.50 and 182,142.54

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Solution

The fourth proportional to 325,382.67, 449,023.50 and 182,142.54 is: 251,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,382.67 : 449,023.50 = 182,142.54 : x
  2. Step 2: Convert to fraction form
    325,382.67/449,023.50 = 182,142.54/x
  3. Step 3: Cross multiply
    325,382.67x = 449,023.50 × 182,142.54
  4. Step 4: Simplify right side
    325,382.67x = 81,786,280,809.69
  5. Step 5: Solve for x
    x = 81,786,280,809.69/325,382.67
  6. Step 6: Final answer
    x = 251,354.14

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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.