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Finding the Fourth Proportional to 494,627.88, 682,524.42 and 293,385

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Solution

The fourth proportional to 494,627.88, 682,524.42 and 293,385 is: 404,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,627.88 : 682,524.42 = 293,385 : x
  2. Step 2: Convert to fraction form
    494,627.88/682,524.42 = 293,385/x
  3. Step 3: Cross multiply
    494,627.88x = 682,524.42 × 293,385
  4. Step 4: Simplify right side
    494,627.88x = 200,242,426,961.70
  5. Step 5: Solve for x
    x = 200,242,426,961.70/494,627.88
  6. Step 6: Final answer
    x = 404,834.49

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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.