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Finding the Fourth Proportional to 226,596, 312,487.92 and 165,286.56

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Solution

The fourth proportional to 226,596, 312,487.92 and 165,286.56 is: 227,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,596 : 312,487.92 = 165,286.56 : x
  2. Step 2: Convert to fraction form
    226,596/312,487.92 = 165,286.56/x
  3. Step 3: Cross multiply
    226,596x = 312,487.92 × 165,286.56
  4. Step 4: Simplify right side
    226,596x = 51,650,053,338.36
  5. Step 5: Solve for x
    x = 51,650,053,338.36/226,596
  6. Step 6: Final answer
    x = 227,938.95

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1.5x scale

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.