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Finding the Fourth Proportional to 414,922.70, 622,384.05 and 204,533.30

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Solution

The fourth proportional to 414,922.70, 622,384.05 and 204,533.30 is: 306,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,922.70 : 622,384.05 = 204,533.30 : x
  2. Step 2: Convert to fraction form
    414,922.70/622,384.05 = 204,533.30/x
  3. Step 3: Cross multiply
    414,922.70x = 622,384.05 × 204,533.30
  4. Step 4: Simplify right side
    414,922.70x = 127,298,263,613.87
  5. Step 5: Solve for x
    x = 127,298,263,613.87/414,922.70
  6. Step 6: Final answer
    x = 306,799.95

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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.