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Finding the Fourth Proportional to 596,826.38, 823,620.38 and 324,896.24

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Solution

The fourth proportional to 596,826.38, 823,620.38 and 324,896.24 is: 448,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,826.38 : 823,620.38 = 324,896.24 : x
  2. Step 2: Convert to fraction form
    596,826.38/823,620.38 = 324,896.24/x
  3. Step 3: Cross multiply
    596,826.38x = 823,620.38 × 324,896.24
  4. Step 4: Simplify right side
    596,826.38x = 267,591,158,906.79
  5. Step 5: Solve for x
    x = 267,591,158,906.79/596,826.38
  6. Step 6: Final answer
    x = 448,356.79

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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.