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Finding the Fourth Proportional to 599,462.94, 827,249.22 and 327,525

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Solution

The fourth proportional to 599,462.94, 827,249.22 and 327,525 is: 451,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,462.94 : 827,249.22 = 327,525 : x
  2. Step 2: Convert to fraction form
    599,462.94/827,249.22 = 327,525/x
  3. Step 3: Cross multiply
    599,462.94x = 827,249.22 × 327,525
  4. Step 4: Simplify right side
    599,462.94x = 270,944,800,780.50
  5. Step 5: Solve for x
    x = 270,944,800,780.50/599,462.94
  6. Step 6: Final answer
    x = 451,979.23

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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.