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Finding the Fourth Proportional to 276,906.58, 416,226.90 and 182,741.88

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Solution

The fourth proportional to 276,906.58, 416,226.90 and 182,741.88 is: 274,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,906.58 : 416,226.90 = 182,741.88 : x
  2. Step 2: Convert to fraction form
    276,906.58/416,226.90 = 182,741.88/x
  3. Step 3: Cross multiply
    276,906.58x = 416,226.90 × 182,741.88
  4. Step 4: Simplify right side
    276,906.58x = 76,062,085,644.18
  5. Step 5: Solve for x
    x = 76,062,085,644.18/276,906.58
  6. Step 6: Final answer
    x = 274,685.01

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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.