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Finding the Fourth Proportional to 414,198.65, 620,301.53 and 236,165.92

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Solution

The fourth proportional to 414,198.65, 620,301.53 and 236,165.92 is: 353,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,198.65 : 620,301.53 = 236,165.92 : x
  2. Step 2: Convert to fraction form
    414,198.65/620,301.53 = 236,165.92/x
  3. Step 3: Cross multiply
    414,198.65x = 620,301.53 × 236,165.92
  4. Step 4: Simplify right side
    414,198.65x = 146,494,078,778.27
  5. Step 5: Solve for x
    x = 146,494,078,778.27/414,198.65
  6. Step 6: Final answer
    x = 353,680.72

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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.