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Finding the Fourth Proportional to 511,163.50, 766,753.20 and 151,370.75

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Solution

The fourth proportional to 511,163.50, 766,753.20 and 151,370.75 is: 227,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,163.50 : 766,753.20 = 151,370.75 : x
  2. Step 2: Convert to fraction form
    511,163.50/766,753.20 = 151,370.75/x
  3. Step 3: Cross multiply
    511,163.50x = 766,753.20 × 151,370.75
  4. Step 4: Simplify right side
    511,163.50x = 116,064,004,552.80
  5. Step 5: Solve for x
    x = 116,064,004,552.80/511,163.50
  6. Step 6: Final answer
    x = 227,058.47

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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.