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Finding the Fourth Proportional to 411,079.14, 567,277.29 and 229,791.42

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Solution

The fourth proportional to 411,079.14, 567,277.29 and 229,791.42 is: 317,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,079.14 : 567,277.29 = 229,791.42 : x
  2. Step 2: Convert to fraction form
    411,079.14/567,277.29 = 229,791.42/x
  3. Step 3: Cross multiply
    411,079.14x = 567,277.29 × 229,791.42
  4. Step 4: Simplify right side
    411,079.14x = 130,355,454,002.85
  5. Step 5: Solve for x
    x = 130,355,454,002.85/411,079.14
  6. Step 6: Final answer
    x = 317,105.49

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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.