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Finding the Fourth Proportional to 277,584.17, 416,376.45 and 67,222.31

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Solution

The fourth proportional to 277,584.17, 416,376.45 and 67,222.31 is: 100,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,584.17 : 416,376.45 = 67,222.31 : x
  2. Step 2: Convert to fraction form
    277,584.17/416,376.45 = 67,222.31/x
  3. Step 3: Cross multiply
    277,584.17x = 416,376.45 × 67,222.31
  4. Step 4: Simplify right side
    277,584.17x = 27,989,784,716.72
  5. Step 5: Solve for x
    x = 27,989,784,716.72/277,584.17
  6. Step 6: Final answer
    x = 100,833.51

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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.