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Finding the Fourth Proportional to 277,568.50, 416,364.27 and 80,576.50

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Solution

The fourth proportional to 277,568.50, 416,364.27 and 80,576.50 is: 120,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,568.50 : 416,364.27 = 80,576.50 : x
  2. Step 2: Convert to fraction form
    277,568.50/416,364.27 = 80,576.50/x
  3. Step 3: Cross multiply
    277,568.50x = 416,364.27 × 80,576.50
  4. Step 4: Simplify right side
    277,568.50x = 33,549,175,601.66
  5. Step 5: Solve for x
    x = 33,549,175,601.66/277,568.50
  6. Step 6: Final answer
    x = 120,868.09

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Why These Related Problems?

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