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Finding the Fourth Proportional to 599,463.48, 827,249.82 and 327,525.52

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Solution

The fourth proportional to 599,463.48, 827,249.82 and 327,525.52 is: 451,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,463.48 : 827,249.82 = 327,525.52 : x
  2. Step 2: Convert to fraction form
    599,463.48/827,249.82 = 327,525.52/x
  3. Step 3: Cross multiply
    599,463.48x = 827,249.82 × 327,525.52
  4. Step 4: Simplify right side
    599,463.48x = 270,945,427,465.41
  5. Step 5: Solve for x
    x = 270,945,427,465.41/599,463.48
  6. Step 6: Final answer
    x = 451,979.87

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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.