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Finding the Fourth Proportional to 414,057.38, 621,217.29 and 147,812

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Solution

The fourth proportional to 414,057.38, 621,217.29 and 147,812 is: 221,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,057.38 : 621,217.29 = 147,812 : x
  2. Step 2: Convert to fraction form
    414,057.38/621,217.29 = 147,812/x
  3. Step 3: Cross multiply
    414,057.38x = 621,217.29 × 147,812
  4. Step 4: Simplify right side
    414,057.38x = 91,823,370,069.48
  5. Step 5: Solve for x
    x = 91,823,370,069.48/414,057.38
  6. Step 6: Final answer
    x = 221,764.84

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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.