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Finding the Fourth Proportional to 420,359.27, 580,109.79 and 229,383.14

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Solution

The fourth proportional to 420,359.27, 580,109.79 and 229,383.14 is: 316,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,359.27 : 580,109.79 = 229,383.14 : x
  2. Step 2: Convert to fraction form
    420,359.27/580,109.79 = 229,383.14/x
  3. Step 3: Cross multiply
    420,359.27x = 580,109.79 × 229,383.14
  4. Step 4: Simplify right side
    420,359.27x = 133,067,402,274.39
  5. Step 5: Solve for x
    x = 133,067,402,274.39/420,359.27
  6. Step 6: Final answer
    x = 316,556.37

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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.