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Finding the Fourth Proportional to 599,286.24, 827,017.83 and 327,357.90

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Solution

The fourth proportional to 599,286.24, 827,017.83 and 327,357.90 is: 451,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,286.24 : 827,017.83 = 327,357.90 : x
  2. Step 2: Convert to fraction form
    599,286.24/827,017.83 = 327,357.90/x
  3. Step 3: Cross multiply
    599,286.24x = 827,017.83 × 327,357.90
  4. Step 4: Simplify right side
    599,286.24x = 270,730,820,091.36
  5. Step 5: Solve for x
    x = 270,730,820,091.36/599,286.24
  6. Step 6: Final answer
    x = 451,755.44

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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.