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Finding the Fourth Proportional to 294,171.36, 440,949.84 and 144,204

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Solution

The fourth proportional to 294,171.36, 440,949.84 and 144,204 is: 216,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,171.36 : 440,949.84 = 144,204 : x
  2. Step 2: Convert to fraction form
    294,171.36/440,949.84 = 144,204/x
  3. Step 3: Cross multiply
    294,171.36x = 440,949.84 × 144,204
  4. Step 4: Simplify right side
    294,171.36x = 63,586,730,727.36
  5. Step 5: Solve for x
    x = 63,586,730,727.36/294,171.36
  6. Step 6: Final answer
    x = 216,155.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.