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Finding the Fourth Proportional to 219,906.30, 329,859.45 and 196,286.70

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Solution

The fourth proportional to 219,906.30, 329,859.45 and 196,286.70 is: 294,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,906.30 : 329,859.45 = 196,286.70 : x
  2. Step 2: Convert to fraction form
    219,906.30/329,859.45 = 196,286.70/x
  3. Step 3: Cross multiply
    219,906.30x = 329,859.45 × 196,286.70
  4. Step 4: Simplify right side
    219,906.30x = 64,747,022,904.32
  5. Step 5: Solve for x
    x = 64,747,022,904.32/219,906.30
  6. Step 6: Final answer
    x = 294,430.05

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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.