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Finding the Fourth Proportional to 322,070.94, 444,471.45 and 178,844.31

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Solution

The fourth proportional to 322,070.94, 444,471.45 and 178,844.31 is: 246,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,070.94 : 444,471.45 = 178,844.31 : x
  2. Step 2: Convert to fraction form
    322,070.94/444,471.45 = 178,844.31/x
  3. Step 3: Cross multiply
    322,070.94x = 444,471.45 × 178,844.31
  4. Step 4: Simplify right side
    322,070.94x = 79,491,189,789.95
  5. Step 5: Solve for x
    x = 79,491,189,789.95/322,070.94
  6. Step 6: Final answer
    x = 246,812.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.