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Finding the Fourth Proportional to 300,415.56, 414,545.38 and 179,532.84

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Solution

The fourth proportional to 300,415.56, 414,545.38 and 179,532.84 is: 247,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,415.56 : 414,545.38 = 179,532.84 : x
  2. Step 2: Convert to fraction form
    300,415.56/414,545.38 = 179,532.84/x
  3. Step 3: Cross multiply
    300,415.56x = 414,545.38 × 179,532.84
  4. Step 4: Simplify right side
    300,415.56x = 74,424,509,380.28
  5. Step 5: Solve for x
    x = 74,424,509,380.28/300,415.56
  6. Step 6: Final answer
    x = 247,738.53

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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.