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Finding the Fourth Proportional to 599,379.80, 827,145.78 and 327,450.20

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Solution

The fourth proportional to 599,379.80, 827,145.78 and 327,450.20 is: 451,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,379.80 : 827,145.78 = 327,450.20 : x
  2. Step 2: Convert to fraction form
    599,379.80/827,145.78 = 327,450.20/x
  3. Step 3: Cross multiply
    599,379.80x = 827,145.78 × 327,450.20
  4. Step 4: Simplify right side
    599,379.80x = 270,849,051,090.16
  5. Step 5: Solve for x
    x = 270,849,051,090.16/599,379.80
  6. Step 6: Final answer
    x = 451,882.18

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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.