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Finding the Fourth Proportional to 494,892.65, 682,959.80 and 268,538.15

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Solution

The fourth proportional to 494,892.65, 682,959.80 and 268,538.15 is: 370,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,892.65 : 682,959.80 = 268,538.15 : x
  2. Step 2: Convert to fraction form
    494,892.65/682,959.80 = 268,538.15/x
  3. Step 3: Cross multiply
    494,892.65x = 682,959.80 × 268,538.15
  4. Step 4: Simplify right side
    494,892.65x = 183,400,761,216.37
  5. Step 5: Solve for x
    x = 183,400,761,216.37/494,892.65
  6. Step 6: Final answer
    x = 370,586.96

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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.