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Finding the Fourth Proportional to 298,769.20, 411,734.40 and 213,738.64

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Solution

The fourth proportional to 298,769.20, 411,734.40 and 213,738.64 is: 294,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,769.20 : 411,734.40 = 213,738.64 : x
  2. Step 2: Convert to fraction form
    298,769.20/411,734.40 = 213,738.64/x
  3. Step 3: Cross multiply
    298,769.20x = 411,734.40 × 213,738.64
  4. Step 4: Simplify right side
    298,769.20x = 88,003,550,697.22
  5. Step 5: Solve for x
    x = 88,003,550,697.22/298,769.20
  6. Step 6: Final answer
    x = 294,553.62

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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.