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Finding the Fourth Proportional to 276,247.86, 414,371.79 and 182,731.74

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Solution

The fourth proportional to 276,247.86, 414,371.79 and 182,731.74 is: 274,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,247.86 : 414,371.79 = 182,731.74 : x
  2. Step 2: Convert to fraction form
    276,247.86/414,371.79 = 182,731.74/x
  3. Step 3: Cross multiply
    276,247.86x = 414,371.79 × 182,731.74
  4. Step 4: Simplify right side
    276,247.86x = 75,718,878,193.61
  5. Step 5: Solve for x
    x = 75,718,878,193.61/276,247.86
  6. Step 6: Final answer
    x = 274,097.61

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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.