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Finding the Fourth Proportional to 277,817.22, 416,288.01 and 214,791.06

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Solution

The fourth proportional to 277,817.22, 416,288.01 and 214,791.06 is: 321,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,817.22 : 416,288.01 = 214,791.06 : x
  2. Step 2: Convert to fraction form
    277,817.22/416,288.01 = 214,791.06/x
  3. Step 3: Cross multiply
    277,817.22x = 416,288.01 × 214,791.06
  4. Step 4: Simplify right side
    277,817.22x = 89,414,942,933.19
  5. Step 5: Solve for x
    x = 89,414,942,933.19/277,817.22
  6. Step 6: Final answer
    x = 321,848.09

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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.