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Finding the Fourth Proportional to 440,198.14, 606,113.23 and 343,791.42

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Solution

The fourth proportional to 440,198.14, 606,113.23 and 343,791.42 is: 473,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,198.14 : 606,113.23 = 343,791.42 : x
  2. Step 2: Convert to fraction form
    440,198.14/606,113.23 = 343,791.42/x
  3. Step 3: Cross multiply
    440,198.14x = 606,113.23 × 343,791.42
  4. Step 4: Simplify right side
    440,198.14x = 208,376,528,022.49
  5. Step 5: Solve for x
    x = 208,376,528,022.49/440,198.14
  6. Step 6: Final answer
    x = 473,369.85

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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.