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Finding the Fourth Proportional to 322,193.32, 444,641.62 and 178,953.96

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Solution

The fourth proportional to 322,193.32, 444,641.62 and 178,953.96 is: 246,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,193.32 : 444,641.62 = 178,953.96 : x
  2. Step 2: Convert to fraction form
    322,193.32/444,641.62 = 178,953.96/x
  3. Step 3: Cross multiply
    322,193.32x = 444,641.62 × 178,953.96
  4. Step 4: Simplify right side
    322,193.32x = 79,570,378,679.82
  5. Step 5: Solve for x
    x = 79,570,378,679.82/322,193.32
  6. Step 6: Final answer
    x = 246,964.71

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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.