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Finding the Fourth Proportional to 599,387.82, 827,141.13 and 327,457.14

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Solution

The fourth proportional to 599,387.82, 827,141.13 and 327,457.14 is: 451,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,387.82 : 827,141.13 = 327,457.14 : x
  2. Step 2: Convert to fraction form
    599,387.82/827,141.13 = 327,457.14/x
  3. Step 3: Cross multiply
    599,387.82x = 827,141.13 × 327,457.14
  4. Step 4: Simplify right side
    599,387.82x = 270,853,268,806.17
  5. Step 5: Solve for x
    x = 270,853,268,806.17/599,387.82
  6. Step 6: Final answer
    x = 451,883.17

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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.