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Finding the Fourth Proportional to 511,583.82, 766,719 and 244,944.78

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Solution

The fourth proportional to 511,583.82, 766,719 and 244,944.78 is: 367,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,583.82 : 766,719 = 244,944.78 : x
  2. Step 2: Convert to fraction form
    511,583.82/766,719 = 244,944.78/x
  3. Step 3: Cross multiply
    511,583.82x = 766,719 × 244,944.78
  4. Step 4: Simplify right side
    511,583.82x = 187,803,816,776.82
  5. Step 5: Solve for x
    x = 187,803,816,776.82/511,583.82
  6. Step 6: Final answer
    x = 367,102.73

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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.