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Finding the Fourth Proportional to 303,595.39, 418,786.01 and 196,165.43

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Solution

The fourth proportional to 303,595.39, 418,786.01 and 196,165.43 is: 270,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,595.39 : 418,786.01 = 196,165.43 : x
  2. Step 2: Convert to fraction form
    303,595.39/418,786.01 = 196,165.43/x
  3. Step 3: Cross multiply
    303,595.39x = 418,786.01 × 196,165.43
  4. Step 4: Simplify right side
    303,595.39x = 82,151,336,960.95
  5. Step 5: Solve for x
    x = 82,151,336,960.95/303,595.39
  6. Step 6: Final answer
    x = 270,594.81

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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.