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Finding the Fourth Proportional to 320,439.50, 442,199.22 and 177,200.72

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Solution

The fourth proportional to 320,439.50, 442,199.22 and 177,200.72 is: 244,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,439.50 : 442,199.22 = 177,200.72 : x
  2. Step 2: Convert to fraction form
    320,439.50/442,199.22 = 177,200.72/x
  3. Step 3: Cross multiply
    320,439.50x = 442,199.22 × 177,200.72
  4. Step 4: Simplify right side
    320,439.50x = 78,358,020,167.44
  5. Step 5: Solve for x
    x = 78,358,020,167.44/320,439.50
  6. Step 6: Final answer
    x = 244,532.96

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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.