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Finding the Fourth Proportional to 420,359.30, 580,109.83 and 229,383.17

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Solution

The fourth proportional to 420,359.30, 580,109.83 and 229,383.17 is: 316,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,359.30 : 580,109.83 = 229,383.17 : x
  2. Step 2: Convert to fraction form
    420,359.30/580,109.83 = 229,383.17/x
  3. Step 3: Cross multiply
    420,359.30x = 580,109.83 × 229,383.17
  4. Step 4: Simplify right side
    420,359.30x = 133,067,431,753.56
  5. Step 5: Solve for x
    x = 133,067,431,753.56/420,359.30
  6. Step 6: Final answer
    x = 316,556.41

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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.