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Finding the Fourth Proportional to 322,384.81, 444,761.13 and 194,838.97

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Solution

The fourth proportional to 322,384.81, 444,761.13 and 194,838.97 is: 268,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,384.81 : 444,761.13 = 194,838.97 : x
  2. Step 2: Convert to fraction form
    322,384.81/444,761.13 = 194,838.97/x
  3. Step 3: Cross multiply
    322,384.81x = 444,761.13 × 194,838.97
  4. Step 4: Simplify right side
    322,384.81x = 86,656,800,465.24
  5. Step 5: Solve for x
    x = 86,656,800,465.24/322,384.81
  6. Step 6: Final answer
    x = 268,799.27

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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.