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Finding the Fourth Proportional to 414,532.90, 622,163.85 and 245,842.30

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Solution

The fourth proportional to 414,532.90, 622,163.85 and 245,842.30 is: 368,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,532.90 : 622,163.85 = 245,842.30 : x
  2. Step 2: Convert to fraction form
    414,532.90/622,163.85 = 245,842.30/x
  3. Step 3: Cross multiply
    414,532.90x = 622,163.85 × 245,842.30
  4. Step 4: Simplify right side
    414,532.90x = 152,954,191,860.86
  5. Step 5: Solve for x
    x = 152,954,191,860.86/414,532.90
  6. Step 6: Final answer
    x = 368,979.62

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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.