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Finding the Fourth Proportional to 298,451.14, 411,736.89 and 197,674.18

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Solution

The fourth proportional to 298,451.14, 411,736.89 and 197,674.18 is: 272,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,451.14 : 411,736.89 = 197,674.18 : x
  2. Step 2: Convert to fraction form
    298,451.14/411,736.89 = 197,674.18/x
  3. Step 3: Cross multiply
    298,451.14x = 411,736.89 × 197,674.18
  4. Step 4: Simplify right side
    298,451.14x = 81,389,752,106.50
  5. Step 5: Solve for x
    x = 81,389,752,106.50/298,451.14
  6. Step 6: Final answer
    x = 272,707.12

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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.