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Finding the Fourth Proportional to 277,972.36, 416,955.06 and 67,610.44

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Solution

The fourth proportional to 277,972.36, 416,955.06 and 67,610.44 is: 101,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,972.36 : 416,955.06 = 67,610.44 : x
  2. Step 2: Convert to fraction form
    277,972.36/416,955.06 = 67,610.44/x
  3. Step 3: Cross multiply
    277,972.36x = 416,955.06 × 67,610.44
  4. Step 4: Simplify right side
    277,972.36x = 28,190,515,066.83
  5. Step 5: Solve for x
    x = 28,190,515,066.83/277,972.36
  6. Step 6: Final answer
    x = 101,414.81

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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.