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Finding the Fourth Proportional to 347,809.11, 479,976.55 and 196,906.11

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Solution

The fourth proportional to 347,809.11, 479,976.55 and 196,906.11 is: 271,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,809.11 : 479,976.55 = 196,906.11 : x
  2. Step 2: Convert to fraction form
    347,809.11/479,976.55 = 196,906.11/x
  3. Step 3: Cross multiply
    347,809.11x = 479,976.55 × 196,906.11
  4. Step 4: Simplify right side
    347,809.11x = 94,510,315,351.72
  5. Step 5: Solve for x
    x = 94,510,315,351.72/347,809.11
  6. Step 6: Final answer
    x = 271,730.42

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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.