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Finding the Fourth Proportional to 311,947.70, 468,083.55 and 145,735.70

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Solution

The fourth proportional to 311,947.70, 468,083.55 and 145,735.70 is: 218,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,947.70 : 468,083.55 = 145,735.70 : x
  2. Step 2: Convert to fraction form
    311,947.70/468,083.55 = 145,735.70/x
  3. Step 3: Cross multiply
    311,947.70x = 468,083.55 × 145,735.70
  4. Step 4: Simplify right side
    311,947.70x = 68,216,483,817.74
  5. Step 5: Solve for x
    x = 68,216,483,817.74/311,947.70
  6. Step 6: Final answer
    x = 218,679.23

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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.