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Finding the Fourth Proportional to 599,604.40, 827,456.24 and 327,676.47

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Solution

The fourth proportional to 599,604.40, 827,456.24 and 327,676.47 is: 452,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,604.40 : 827,456.24 = 327,676.47 : x
  2. Step 2: Convert to fraction form
    599,604.40/827,456.24 = 327,676.47/x
  3. Step 3: Cross multiply
    599,604.40x = 827,456.24 × 327,676.47
  4. Step 4: Simplify right side
    599,604.40x = 271,137,937,518.90
  5. Step 5: Solve for x
    x = 271,137,937,518.90/599,604.40
  6. Step 6: Final answer
    x = 452,194.71

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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.