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Finding the Fourth Proportional to 414,107.26, 621,292.20 and 147,861.88

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Solution

The fourth proportional to 414,107.26, 621,292.20 and 147,861.88 is: 221,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,107.26 : 621,292.20 = 147,861.88 : x
  2. Step 2: Convert to fraction form
    414,107.26/621,292.20 = 147,861.88/x
  3. Step 3: Cross multiply
    414,107.26x = 621,292.20 × 147,861.88
  4. Step 4: Simplify right side
    414,107.26x = 91,865,432,721.34
  5. Step 5: Solve for x
    x = 91,865,432,721.34/414,107.26
  6. Step 6: Final answer
    x = 221,839.71

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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.