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Finding the Fourth Proportional to 276,256.30, 414,343.44 and 76,555.87

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Solution

The fourth proportional to 276,256.30, 414,343.44 and 76,555.87 is: 114,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,256.30 : 414,343.44 = 76,555.87 : x
  2. Step 2: Convert to fraction form
    276,256.30/414,343.44 = 76,555.87/x
  3. Step 3: Cross multiply
    276,256.30x = 414,343.44 × 76,555.87
  4. Step 4: Simplify right side
    276,256.30x = 31,720,422,527.99
  5. Step 5: Solve for x
    x = 31,720,422,527.99/276,256.30
  6. Step 6: Final answer
    x = 114,822.44

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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.