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Finding the Fourth Proportional to 398,642.31, 597,540.44 and 195,952.57

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Solution

The fourth proportional to 398,642.31, 597,540.44 and 195,952.57 is: 293,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,642.31 : 597,540.44 = 195,952.57 : x
  2. Step 2: Convert to fraction form
    398,642.31/597,540.44 = 195,952.57/x
  3. Step 3: Cross multiply
    398,642.31x = 597,540.44 × 195,952.57
  4. Step 4: Simplify right side
    398,642.31x = 117,089,583,892.96
  5. Step 5: Solve for x
    x = 117,089,583,892.96/398,642.31
  6. Step 6: Final answer
    x = 293,720.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.