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Finding the Fourth Proportional to 277,588.50, 416,381.36 and 67,226.44

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Solution

The fourth proportional to 277,588.50, 416,381.36 and 67,226.44 is: 100,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,588.50 : 416,381.36 = 67,226.44 : x
  2. Step 2: Convert to fraction form
    277,588.50/416,381.36 = 67,226.44/x
  3. Step 3: Cross multiply
    277,588.50x = 416,381.36 × 67,226.44
  4. Step 4: Simplify right side
    277,588.50x = 27,991,834,433.25
  5. Step 5: Solve for x
    x = 27,991,834,433.25/277,588.50
  6. Step 6: Final answer
    x = 100,839.32

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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.