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Finding the Fourth Proportional to 411,122.91, 567,353.85 and 229,844.91

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Solution

The fourth proportional to 411,122.91, 567,353.85 and 229,844.91 is: 317,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,122.91 : 567,353.85 = 229,844.91 : x
  2. Step 2: Convert to fraction form
    411,122.91/567,353.85 = 229,844.91/x
  3. Step 3: Cross multiply
    411,122.91x = 567,353.85 × 229,844.91
  4. Step 4: Simplify right side
    411,122.91x = 130,403,394,591.40
  5. Step 5: Solve for x
    x = 130,403,394,591.40/411,122.91
  6. Step 6: Final answer
    x = 317,188.34

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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.