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Finding the Fourth Proportional to 511,178.91, 766,906.40 and 156,183.24

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Solution

The fourth proportional to 511,178.91, 766,906.40 and 156,183.24 is: 234,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,178.91 : 766,906.40 = 156,183.24 : x
  2. Step 2: Convert to fraction form
    511,178.91/766,906.40 = 156,183.24/x
  3. Step 3: Cross multiply
    511,178.91x = 766,906.40 × 156,183.24
  4. Step 4: Simplify right side
    511,178.91x = 119,777,926,328.74
  5. Step 5: Solve for x
    x = 119,777,926,328.74/511,178.91
  6. Step 6: Final answer
    x = 234,317.03

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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.