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Finding the Fourth Proportional to 491,612.38, 678,489.75 and 276,794.31

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Solution

The fourth proportional to 491,612.38, 678,489.75 and 276,794.31 is: 382,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,612.38 : 678,489.75 = 276,794.31 : x
  2. Step 2: Convert to fraction form
    491,612.38/678,489.75 = 276,794.31/x
  3. Step 3: Cross multiply
    491,612.38x = 678,489.75 × 276,794.31
  4. Step 4: Simplify right side
    491,612.38x = 187,802,102,193.32
  5. Step 5: Solve for x
    x = 187,802,102,193.32/491,612.38
  6. Step 6: Final answer
    x = 382,012.56

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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.