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Finding the Fourth Proportional to 494,814.74, 682,841.49 and 268,455.38

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Solution

The fourth proportional to 494,814.74, 682,841.49 and 268,455.38 is: 370,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,814.74 : 682,841.49 = 268,455.38 : x
  2. Step 2: Convert to fraction form
    494,814.74/682,841.49 = 268,455.38/x
  3. Step 3: Cross multiply
    494,814.74x = 682,841.49 × 268,455.38
  4. Step 4: Simplify right side
    494,814.74x = 183,312,471,677.72
  5. Step 5: Solve for x
    x = 183,312,471,677.72/494,814.74
  6. Step 6: Final answer
    x = 370,466.88

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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.