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Finding the Fourth Proportional to 298,051.92, 411,309.36 and 162,085.92

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Solution

The fourth proportional to 298,051.92, 411,309.36 and 162,085.92 is: 223,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,051.92 : 411,309.36 = 162,085.92 : x
  2. Step 2: Convert to fraction form
    298,051.92/411,309.36 = 162,085.92/x
  3. Step 3: Cross multiply
    298,051.92x = 411,309.36 × 162,085.92
  4. Step 4: Simplify right side
    298,051.92x = 66,667,456,020.21
  5. Step 5: Solve for x
    x = 66,667,456,020.21/298,051.92
  6. Step 6: Final answer
    x = 223,677.32

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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.