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Finding the Fourth Proportional to 312,997.20, 468,869.68 and 144,286.76

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Solution

The fourth proportional to 312,997.20, 468,869.68 and 144,286.76 is: 216,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,997.20 : 468,869.68 = 144,286.76 : x
  2. Step 2: Convert to fraction form
    312,997.20/468,869.68 = 144,286.76/x
  3. Step 3: Cross multiply
    312,997.20x = 468,869.68 × 144,286.76
  4. Step 4: Simplify right side
    312,997.20x = 67,651,686,989.44
  5. Step 5: Solve for x
    x = 67,651,686,989.44/312,997.20
  6. Step 6: Final answer
    x = 216,141.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.