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Finding the Fourth Proportional to 322,863.84, 484,296.20 and 154,344.56

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Solution

The fourth proportional to 322,863.84, 484,296.20 and 154,344.56 is: 231,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,863.84 : 484,296.20 = 154,344.56 : x
  2. Step 2: Convert to fraction form
    322,863.84/484,296.20 = 154,344.56/x
  3. Step 3: Cross multiply
    322,863.84x = 484,296.20 × 154,344.56
  4. Step 4: Simplify right side
    322,863.84x = 74,748,483,898.67
  5. Step 5: Solve for x
    x = 74,748,483,898.67/322,863.84
  6. Step 6: Final answer
    x = 231,517.05

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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.