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Finding the Fourth Proportional to 490,198.77, 734,662.44 and 220,127.49

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Solution

The fourth proportional to 490,198.77, 734,662.44 and 220,127.49 is: 329,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,198.77 : 734,662.44 = 220,127.49 : x
  2. Step 2: Convert to fraction form
    490,198.77/734,662.44 = 220,127.49/x
  3. Step 3: Cross multiply
    490,198.77x = 734,662.44 × 220,127.49
  4. Step 4: Simplify right side
    490,198.77x = 161,719,398,914.48
  5. Step 5: Solve for x
    x = 161,719,398,914.48/490,198.77
  6. Step 6: Final answer
    x = 329,905.76

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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.