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Finding the Fourth Proportional to 262,667, 394,000.50 and 65,675

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Solution

The fourth proportional to 262,667, 394,000.50 and 65,675 is: 98,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,667 : 394,000.50 = 65,675 : x
  2. Step 2: Convert to fraction form
    262,667/394,000.50 = 65,675/x
  3. Step 3: Cross multiply
    262,667x = 394,000.50 × 65,675
  4. Step 4: Simplify right side
    262,667x = 25,875,982,837.50
  5. Step 5: Solve for x
    x = 25,875,982,837.50/262,667
  6. Step 6: Final answer
    x = 98,512.50

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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.