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Finding the Fourth Proportional to 599,454.21, 827,237.16 and 327,516.27

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Solution

The fourth proportional to 599,454.21, 827,237.16 and 327,516.27 is: 451,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,454.21 : 827,237.16 = 327,516.27 : x
  2. Step 2: Convert to fraction form
    599,454.21/827,237.16 = 327,516.27/x
  3. Step 3: Cross multiply
    599,454.21x = 827,237.16 × 327,516.27
  4. Step 4: Simplify right side
    599,454.21x = 270,933,625,946.45
  5. Step 5: Solve for x
    x = 270,933,625,946.45/599,454.21
  6. Step 6: Final answer
    x = 451,967.17

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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.