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Finding the Fourth Proportional to 494,905.50, 682,971.41 and 268,551

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Solution

The fourth proportional to 494,905.50, 682,971.41 and 268,551 is: 370,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,905.50 : 682,971.41 = 268,551 : x
  2. Step 2: Convert to fraction form
    494,905.50/682,971.41 = 268,551/x
  3. Step 3: Cross multiply
    494,905.50x = 682,971.41 × 268,551
  4. Step 4: Simplify right side
    494,905.50x = 183,412,655,798.29
  5. Step 5: Solve for x
    x = 183,412,655,798.29/494,905.50
  6. Step 6: Final answer
    x = 370,601.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.