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Finding the Fourth Proportional to 598,972.65, 826,576 and 327,039.71

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Solution

The fourth proportional to 598,972.65, 826,576 and 327,039.71 is: 451,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,972.65 : 826,576 = 327,039.71 : x
  2. Step 2: Convert to fraction form
    598,972.65/826,576 = 327,039.71/x
  3. Step 3: Cross multiply
    598,972.65x = 826,576 × 327,039.71
  4. Step 4: Simplify right side
    598,972.65x = 270,323,171,200.08
  5. Step 5: Solve for x
    x = 270,323,171,200.08/598,972.65
  6. Step 6: Final answer
    x = 451,311.38

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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.