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Finding the Fourth Proportional to 322,097.48, 444,422.94 and 194,770.40

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Solution

The fourth proportional to 322,097.48, 444,422.94 and 194,770.40 is: 268,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,097.48 : 444,422.94 = 194,770.40 : x
  2. Step 2: Convert to fraction form
    322,097.48/444,422.94 = 194,770.40/x
  3. Step 3: Cross multiply
    322,097.48x = 444,422.94 × 194,770.40
  4. Step 4: Simplify right side
    322,097.48x = 86,560,433,792.98
  5. Step 5: Solve for x
    x = 86,560,433,792.98/322,097.48
  6. Step 6: Final answer
    x = 268,739.87

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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.