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Finding the Fourth Proportional to 494,633.38, 682,594.10 and 279,768.82

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Solution

The fourth proportional to 494,633.38, 682,594.10 and 279,768.82 is: 386,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,633.38 : 682,594.10 = 279,768.82 : x
  2. Step 2: Convert to fraction form
    494,633.38/682,594.10 = 279,768.82/x
  3. Step 3: Cross multiply
    494,633.38x = 682,594.10 × 279,768.82
  4. Step 4: Simplify right side
    494,633.38x = 190,968,543,182.41
  5. Step 5: Solve for x
    x = 190,968,543,182.41/494,633.38
  6. Step 6: Final answer
    x = 386,080.99

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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.