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Finding the Fourth Proportional to 494,741.76, 682,744.94 and 268,387.26

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Solution

The fourth proportional to 494,741.76, 682,744.94 and 268,387.26 is: 370,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,741.76 : 682,744.94 = 268,387.26 : x
  2. Step 2: Convert to fraction form
    494,741.76/682,744.94 = 268,387.26/x
  3. Step 3: Cross multiply
    494,741.76x = 682,744.94 × 268,387.26
  4. Step 4: Simplify right side
    494,741.76x = 183,240,043,725.46
  5. Step 5: Solve for x
    x = 183,240,043,725.46/494,741.76
  6. Step 6: Final answer
    x = 370,375.13

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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.