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Finding the Fourth Proportional to 598,984.81, 826,616.05 and 327,069.93

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Solution

The fourth proportional to 598,984.81, 826,616.05 and 327,069.93 is: 451,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,984.81 : 826,616.05 = 327,069.93 : x
  2. Step 2: Convert to fraction form
    598,984.81/826,616.05 = 327,069.93/x
  3. Step 3: Cross multiply
    598,984.81x = 826,616.05 × 327,069.93
  4. Step 4: Simplify right side
    598,984.81x = 270,361,257,732.28
  5. Step 5: Solve for x
    x = 270,361,257,732.28/598,984.81
  6. Step 6: Final answer
    x = 451,365.80

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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.