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Finding the Fourth Proportional to 494,546.41, 682,510.70 and 276,776.91

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Solution

The fourth proportional to 494,546.41, 682,510.70 and 276,776.91 is: 381,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,546.41 : 682,510.70 = 276,776.91 : x
  2. Step 2: Convert to fraction form
    494,546.41/682,510.70 = 276,776.91/x
  3. Step 3: Cross multiply
    494,546.41x = 682,510.70 × 276,776.91
  4. Step 4: Simplify right side
    494,546.41x = 188,903,203,279.88
  5. Step 5: Solve for x
    x = 188,903,203,279.88/494,546.41
  6. Step 6: Final answer
    x = 381,972.65

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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.