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Finding the Fourth Proportional to 298,093.50, 411,370.11 and 162,127.44

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Solution

The fourth proportional to 298,093.50, 411,370.11 and 162,127.44 is: 223,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,093.50 : 411,370.11 = 162,127.44 : x
  2. Step 2: Convert to fraction form
    298,093.50/411,370.11 = 162,127.44/x
  3. Step 3: Cross multiply
    298,093.50x = 411,370.11 × 162,127.44
  4. Step 4: Simplify right side
    298,093.50x = 66,694,382,826.82
  5. Step 5: Solve for x
    x = 66,694,382,826.82/298,093.50
  6. Step 6: Final answer
    x = 223,736.45

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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.