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Finding the Fourth Proportional to 294,190.94, 441,286.41 and 205,617.44

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Solution

The fourth proportional to 294,190.94, 441,286.41 and 205,617.44 is: 308,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,190.94 : 441,286.41 = 205,617.44 : x
  2. Step 2: Convert to fraction form
    294,190.94/441,286.41 = 205,617.44/x
  3. Step 3: Cross multiply
    294,190.94x = 441,286.41 × 205,617.44
  4. Step 4: Simplify right side
    294,190.94x = 90,736,181,930.99
  5. Step 5: Solve for x
    x = 90,736,181,930.99/294,190.94
  6. Step 6: Final answer
    x = 308,426.16

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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.