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Finding the Fourth Proportional to 599,287.74, 827,019.90 and 327,359.40

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Solution

The fourth proportional to 599,287.74, 827,019.90 and 327,359.40 is: 451,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,287.74 : 827,019.90 = 327,359.40 : x
  2. Step 2: Convert to fraction form
    599,287.74/827,019.90 = 327,359.40/x
  3. Step 3: Cross multiply
    599,287.74x = 827,019.90 × 327,359.40
  4. Step 4: Simplify right side
    599,287.74x = 270,732,738,252.06
  5. Step 5: Solve for x
    x = 270,732,738,252.06/599,287.74
  6. Step 6: Final answer
    x = 451,757.51

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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.