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Finding the Fourth Proportional to 505,896.60, 758,976.12 and 269,044.50

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Solution

The fourth proportional to 505,896.60, 758,976.12 and 269,044.50 is: 403,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,896.60 : 758,976.12 = 269,044.50 : x
  2. Step 2: Convert to fraction form
    505,896.60/758,976.12 = 269,044.50/x
  3. Step 3: Cross multiply
    505,896.60x = 758,976.12 × 269,044.50
  4. Step 4: Simplify right side
    505,896.60x = 204,198,350,717.34
  5. Step 5: Solve for x
    x = 204,198,350,717.34/505,896.60
  6. Step 6: Final answer
    x = 403,636.54

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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.