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Finding the Fourth Proportional to 599,462.48, 827,248.44 and 327,524.52

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Solution

The fourth proportional to 599,462.48, 827,248.44 and 327,524.52 is: 451,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,462.48 : 827,248.44 = 327,524.52 : x
  2. Step 2: Convert to fraction form
    599,462.48/827,248.44 = 327,524.52/x
  3. Step 3: Cross multiply
    599,462.48x = 827,248.44 × 327,524.52
  4. Step 4: Simplify right side
    599,462.48x = 270,944,148,231.75
  5. Step 5: Solve for x
    x = 270,944,148,231.75/599,462.48
  6. Step 6: Final answer
    x = 451,978.49

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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.