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Finding the Fourth Proportional to 598,194.62, 825,505.40 and 326,257.64

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Solution

The fourth proportional to 598,194.62, 825,505.40 and 326,257.64 is: 450,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,194.62 : 825,505.40 = 326,257.64 : x
  2. Step 2: Convert to fraction form
    598,194.62/825,505.40 = 326,257.64/x
  3. Step 3: Cross multiply
    598,194.62x = 825,505.40 × 326,257.64
  4. Step 4: Simplify right side
    598,194.62x = 269,327,441,979.97
  5. Step 5: Solve for x
    x = 269,327,441,979.97/598,194.62
  6. Step 6: Final answer
    x = 450,233.81

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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.