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Finding the Fourth Proportional to 274,407.78, 411,311.42 and 141,296.03

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Solution

The fourth proportional to 274,407.78, 411,311.42 and 141,296.03 is: 211,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,407.78 : 411,311.42 = 141,296.03 : x
  2. Step 2: Convert to fraction form
    274,407.78/411,311.42 = 141,296.03/x
  3. Step 3: Cross multiply
    274,407.78x = 411,311.42 × 141,296.03
  4. Step 4: Simplify right side
    274,407.78x = 58,116,670,739.66
  5. Step 5: Solve for x
    x = 58,116,670,739.66/274,407.78
  6. Step 6: Final answer
    x = 211,789.44

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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.