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Finding the Fourth Proportional to 277,570.50, 416,367.27 and 80,578.50

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Solution

The fourth proportional to 277,570.50, 416,367.27 and 80,578.50 is: 120,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,570.50 : 416,367.27 = 80,578.50 : x
  2. Step 2: Convert to fraction form
    277,570.50/416,367.27 = 80,578.50/x
  3. Step 3: Cross multiply
    277,570.50x = 416,367.27 × 80,578.50
  4. Step 4: Simplify right side
    277,570.50x = 33,550,250,065.70
  5. Step 5: Solve for x
    x = 33,550,250,065.70/277,570.50
  6. Step 6: Final answer
    x = 120,871.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.