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Finding the Fourth Proportional to 599,287.82, 827,012.27 and 327,355.79

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Solution

The fourth proportional to 599,287.82, 827,012.27 and 327,355.79 is: 451,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,287.82 : 827,012.27 = 327,355.79 : x
  2. Step 2: Convert to fraction form
    599,287.82/827,012.27 = 327,355.79/x
  3. Step 3: Cross multiply
    599,287.82x = 827,012.27 × 327,355.79
  4. Step 4: Simplify right side
    599,287.82x = 270,727,249,213.70
  5. Step 5: Solve for x
    x = 270,727,249,213.70/599,287.82
  6. Step 6: Final answer
    x = 451,748.30

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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.