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Finding the Fourth Proportional to 276,531.87, 414,958.79 and 116,597.77

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Solution

The fourth proportional to 276,531.87, 414,958.79 and 116,597.77 is: 174,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,531.87 : 414,958.79 = 116,597.77 : x
  2. Step 2: Convert to fraction form
    276,531.87/414,958.79 = 116,597.77/x
  3. Step 3: Cross multiply
    276,531.87x = 414,958.79 × 116,597.77
  4. Step 4: Simplify right side
    276,531.87x = 48,383,269,555.90
  5. Step 5: Solve for x
    x = 48,383,269,555.90/276,531.87
  6. Step 6: Final answer
    x = 174,964.53

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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.