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Finding the Fourth Proportional to 494,746.38, 682,749.81 and 268,391.88

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Solution

The fourth proportional to 494,746.38, 682,749.81 and 268,391.88 is: 370,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,746.38 : 682,749.81 = 268,391.88 : x
  2. Step 2: Convert to fraction form
    494,746.38/682,749.81 = 268,391.88/x
  3. Step 3: Cross multiply
    494,746.38x = 682,749.81 × 268,391.88
  4. Step 4: Simplify right side
    494,746.38x = 183,244,505,075.54
  5. Step 5: Solve for x
    x = 183,244,505,075.54/494,746.38
  6. Step 6: Final answer
    x = 370,380.69

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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.