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Finding the Fourth Proportional to 329,341.92, 494,674.20 and 196,481.40

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Solution

The fourth proportional to 329,341.92, 494,674.20 and 196,481.40 is: 295,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,341.92 : 494,674.20 = 196,481.40 : x
  2. Step 2: Convert to fraction form
    329,341.92/494,674.20 = 196,481.40/x
  3. Step 3: Cross multiply
    329,341.92x = 494,674.20 × 196,481.40
  4. Step 4: Simplify right side
    329,341.92x = 97,194,279,359.88
  5. Step 5: Solve for x
    x = 97,194,279,359.88/329,341.92
  6. Step 6: Final answer
    x = 295,116.64

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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.