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Finding the Fourth Proportional to 494,618.88, 682,512 and 293,376

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Solution

The fourth proportional to 494,618.88, 682,512 and 293,376 is: 404,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,618.88 : 682,512 = 293,376 : x
  2. Step 2: Convert to fraction form
    494,618.88/682,512 = 293,376/x
  3. Step 3: Cross multiply
    494,618.88x = 682,512 × 293,376
  4. Step 4: Simplify right side
    494,618.88x = 200,232,640,512
  5. Step 5: Solve for x
    x = 200,232,640,512/494,618.88
  6. Step 6: Final answer
    x = 404,822.07

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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.