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Finding the Fourth Proportional to 276,868.33, 414,699.29 and 181,991.41

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Solution

The fourth proportional to 276,868.33, 414,699.29 and 181,991.41 is: 272,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,868.33 : 414,699.29 = 181,991.41 : x
  2. Step 2: Convert to fraction form
    276,868.33/414,699.29 = 181,991.41/x
  3. Step 3: Cross multiply
    276,868.33x = 414,699.29 × 181,991.41
  4. Step 4: Simplify right side
    276,868.33x = 75,471,708,513.10
  5. Step 5: Solve for x
    x = 75,471,708,513.10/276,868.33
  6. Step 6: Final answer
    x = 272,590.62

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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.