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Finding the Fourth Proportional to 494,736.83, 682,738.14 and 268,382.33

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Solution

The fourth proportional to 494,736.83, 682,738.14 and 268,382.33 is: 370,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,736.83 : 682,738.14 = 268,382.33 : x
  2. Step 2: Convert to fraction form
    494,736.83/682,738.14 = 268,382.33/x
  3. Step 3: Cross multiply
    494,736.83x = 682,738.14 × 268,382.33
  4. Step 4: Simplify right side
    494,736.83x = 183,234,855,506.35
  5. Step 5: Solve for x
    x = 183,234,855,506.35/494,736.83
  6. Step 6: Final answer
    x = 370,368.33

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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.