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Finding the Fourth Proportional to 506,251.86, 760,757.31 and 269,763.54

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Solution

The fourth proportional to 506,251.86, 760,757.31 and 269,763.54 is: 405,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,251.86 : 760,757.31 = 269,763.54 : x
  2. Step 2: Convert to fraction form
    506,251.86/760,757.31 = 269,763.54/x
  3. Step 3: Cross multiply
    506,251.86x = 760,757.31 × 269,763.54
  4. Step 4: Simplify right side
    506,251.86x = 205,224,585,026.48
  5. Step 5: Solve for x
    x = 205,224,585,026.48/506,251.86
  6. Step 6: Final answer
    x = 405,380.41

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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.