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Finding the Fourth Proportional to 494,371.50, 682,232.67 and 268,017

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Solution

The fourth proportional to 494,371.50, 682,232.67 and 268,017 is: 369,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,371.50 : 682,232.67 = 268,017 : x
  2. Step 2: Convert to fraction form
    494,371.50/682,232.67 = 268,017/x
  3. Step 3: Cross multiply
    494,371.50x = 682,232.67 × 268,017
  4. Step 4: Simplify right side
    494,371.50x = 182,849,953,515.39
  5. Step 5: Solve for x
    x = 182,849,953,515.39/494,371.50
  6. Step 6: Final answer
    x = 369,863.46

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1.5x scale

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.