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Finding the Fourth Proportional to 414,101.20, 621,238.20 and 236,462.80

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Solution

The fourth proportional to 414,101.20, 621,238.20 and 236,462.80 is: 354,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,101.20 : 621,238.20 = 236,462.80 : x
  2. Step 2: Convert to fraction form
    414,101.20/621,238.20 = 236,462.80/x
  3. Step 3: Cross multiply
    414,101.20x = 621,238.20 × 236,462.80
  4. Step 4: Simplify right side
    414,101.20x = 146,899,724,238.96
  5. Step 5: Solve for x
    x = 146,899,724,238.96/414,101.20
  6. Step 6: Final answer
    x = 354,743.54

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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.