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Finding the Fourth Proportional to 414,331.92, 621,051.30 and 200,647.44

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Solution

The fourth proportional to 414,331.92, 621,051.30 and 200,647.44 is: 300,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,331.92 : 621,051.30 = 200,647.44 : x
  2. Step 2: Convert to fraction form
    414,331.92/621,051.30 = 200,647.44/x
  3. Step 3: Cross multiply
    414,331.92x = 621,051.30 × 200,647.44
  4. Step 4: Simplify right side
    414,331.92x = 124,612,353,453.67
  5. Step 5: Solve for x
    x = 124,612,353,453.67/414,331.92
  6. Step 6: Final answer
    x = 300,754.90

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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.