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Finding the Fourth Proportional to 414,692.92, 622,035.30 and 189,989.62

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Solution

The fourth proportional to 414,692.92, 622,035.30 and 189,989.62 is: 284,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,692.92 : 622,035.30 = 189,989.62 : x
  2. Step 2: Convert to fraction form
    414,692.92/622,035.30 = 189,989.62/x
  3. Step 3: Cross multiply
    414,692.92x = 622,035.30 × 189,989.62
  4. Step 4: Simplify right side
    414,692.92x = 118,180,250,273.59
  5. Step 5: Solve for x
    x = 118,180,250,273.59/414,692.92
  6. Step 6: Final answer
    x = 284,982.56

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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.