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Finding the Fourth Proportional to 322,944.71, 484,102.78 and 154,421.51

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Solution

The fourth proportional to 322,944.71, 484,102.78 and 154,421.51 is: 231,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,944.71 : 484,102.78 = 154,421.51 : x
  2. Step 2: Convert to fraction form
    322,944.71/484,102.78 = 154,421.51/x
  3. Step 3: Cross multiply
    322,944.71x = 484,102.78 × 154,421.51
  4. Step 4: Simplify right side
    322,944.71x = 74,755,882,282.80
  5. Step 5: Solve for x
    x = 74,755,882,282.80/322,944.71
  6. Step 6: Final answer
    x = 231,481.98

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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.