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Finding the Fourth Proportional to 599,497.38, 827,296.77 and 327,559.38

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Solution

The fourth proportional to 599,497.38, 827,296.77 and 327,559.38 is: 452,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,497.38 : 827,296.77 = 327,559.38 : x
  2. Step 2: Convert to fraction form
    599,497.38/827,296.77 = 327,559.38/x
  3. Step 3: Cross multiply
    599,497.38x = 827,296.77 × 327,559.38
  4. Step 4: Simplify right side
    599,497.38x = 270,988,817,057.20
  5. Step 5: Solve for x
    x = 270,988,817,057.20/599,497.38
  6. Step 6: Final answer
    x = 452,026.69

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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.