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Finding the Fourth Proportional to 494,622.88, 682,517.52 and 293,380

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Solution

The fourth proportional to 494,622.88, 682,517.52 and 293,380 is: 404,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,622.88 : 682,517.52 = 293,380 : x
  2. Step 2: Convert to fraction form
    494,622.88/682,517.52 = 293,380/x
  3. Step 3: Cross multiply
    494,622.88x = 682,517.52 × 293,380
  4. Step 4: Simplify right side
    494,622.88x = 200,236,990,017.60
  5. Step 5: Solve for x
    x = 200,236,990,017.60/494,622.88
  6. Step 6: Final answer
    x = 404,827.59

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