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Finding the Fourth Proportional to 396,193.68, 593,498.34 and 195,908.22

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Solution

The fourth proportional to 396,193.68, 593,498.34 and 195,908.22 is: 293,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,193.68 : 593,498.34 = 195,908.22 : x
  2. Step 2: Convert to fraction form
    396,193.68/593,498.34 = 195,908.22/x
  3. Step 3: Cross multiply
    396,193.68x = 593,498.34 × 195,908.22
  4. Step 4: Simplify right side
    396,193.68x = 116,271,203,362.36
  5. Step 5: Solve for x
    x = 116,271,203,362.36/396,193.68
  6. Step 6: Final answer
    x = 293,470.62

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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.