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Finding the Fourth Proportional to 494,373.50, 682,235.43 and 268,019

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Solution

The fourth proportional to 494,373.50, 682,235.43 and 268,019 is: 369,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,373.50 : 682,235.43 = 268,019 : x
  2. Step 2: Convert to fraction form
    494,373.50/682,235.43 = 268,019/x
  3. Step 3: Cross multiply
    494,373.50x = 682,235.43 × 268,019
  4. Step 4: Simplify right side
    494,373.50x = 182,852,057,713.17
  5. Step 5: Solve for x
    x = 182,852,057,713.17/494,373.50
  6. Step 6: Final answer
    x = 369,866.22

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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.