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Finding the Fourth Proportional to 320,494.62, 442,280.34 and 177,249.36

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Solution

The fourth proportional to 320,494.62, 442,280.34 and 177,249.36 is: 244,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,494.62 : 442,280.34 = 177,249.36 : x
  2. Step 2: Convert to fraction form
    320,494.62/442,280.34 = 177,249.36/x
  3. Step 3: Cross multiply
    320,494.62x = 442,280.34 × 177,249.36
  4. Step 4: Simplify right side
    320,494.62x = 78,393,907,205.58
  5. Step 5: Solve for x
    x = 78,393,907,205.58/320,494.62
  6. Step 6: Final answer
    x = 244,602.88

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