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Finding the Fourth Proportional to 276,407.56, 414,108.33 and 191,989.36

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Solution

The fourth proportional to 276,407.56, 414,108.33 and 191,989.36 is: 287,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,407.56 : 414,108.33 = 191,989.36 : x
  2. Step 2: Convert to fraction form
    276,407.56/414,108.33 = 191,989.36/x
  3. Step 3: Cross multiply
    276,407.56x = 414,108.33 × 191,989.36
  4. Step 4: Simplify right side
    276,407.56x = 79,504,393,247.37
  5. Step 5: Solve for x
    x = 79,504,393,247.37/276,407.56
  6. Step 6: Final answer
    x = 287,634.66

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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.