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Finding the Fourth Proportional to 599,805.86, 827,731.86 and 327,874.80

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Solution

The fourth proportional to 599,805.86, 827,731.86 and 327,874.80 is: 452,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,805.86 : 827,731.86 = 327,874.80 : x
  2. Step 2: Convert to fraction form
    599,805.86/827,731.86 = 327,874.80/x
  3. Step 3: Cross multiply
    599,805.86x = 827,731.86 × 327,874.80
  4. Step 4: Simplify right side
    599,805.86x = 271,392,421,769.89
  5. Step 5: Solve for x
    x = 271,392,421,769.89/599,805.86
  6. Step 6: Final answer
    x = 452,467.11

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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.