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Finding the Fourth Proportional to 494,497.41, 682,406.72 and 268,142.91

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Solution

The fourth proportional to 494,497.41, 682,406.72 and 268,142.91 is: 370,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,497.41 : 682,406.72 = 268,142.91 : x
  2. Step 2: Convert to fraction form
    494,497.41/682,406.72 = 268,142.91/x
  3. Step 3: Cross multiply
    494,497.41x = 682,406.72 × 268,142.91
  4. Step 4: Simplify right side
    494,497.41x = 182,982,522,318.46
  5. Step 5: Solve for x
    x = 182,982,522,318.46/494,497.41
  6. Step 6: Final answer
    x = 370,037.38

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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.