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Finding the Fourth Proportional to 322,286.12, 483,263.18 and 144,640.84

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Solution

The fourth proportional to 322,286.12, 483,263.18 and 144,640.84 is: 216,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,286.12 : 483,263.18 = 144,640.84 : x
  2. Step 2: Convert to fraction form
    322,286.12/483,263.18 = 144,640.84/x
  3. Step 3: Cross multiply
    322,286.12x = 483,263.18 × 144,640.84
  4. Step 4: Simplify right side
    322,286.12x = 69,899,592,296.27
  5. Step 5: Solve for x
    x = 69,899,592,296.27/322,286.12
  6. Step 6: Final answer
    x = 216,886.76

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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.