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Finding the Fourth Proportional to 269,705.84, 404,628.82 and 221,753.50

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Solution

The fourth proportional to 269,705.84, 404,628.82 and 221,753.50 is: 332,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,705.84 : 404,628.82 = 221,753.50 : x
  2. Step 2: Convert to fraction form
    269,705.84/404,628.82 = 221,753.50/x
  3. Step 3: Cross multiply
    269,705.84x = 404,628.82 × 221,753.50
  4. Step 4: Simplify right side
    269,705.84x = 89,727,855,469.91
  5. Step 5: Solve for x
    x = 89,727,855,469.91/269,705.84
  6. Step 6: Final answer
    x = 332,687.85

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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.