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Finding the Fourth Proportional to 599,825.72, 827,759.37 and 327,894.75

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Solution

The fourth proportional to 599,825.72, 827,759.37 and 327,894.75 is: 452,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,825.72 : 827,759.37 = 327,894.75 : x
  2. Step 2: Convert to fraction form
    599,825.72/827,759.37 = 327,894.75/x
  3. Step 3: Cross multiply
    599,825.72x = 827,759.37 × 327,894.75
  4. Step 4: Simplify right side
    599,825.72x = 271,417,945,908.04
  5. Step 5: Solve for x
    x = 271,417,945,908.04/599,825.72
  6. Step 6: Final answer
    x = 452,494.68

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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.