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Finding the Fourth Proportional to 430,209.14, 593,664.22 and 239,218.43

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Solution

The fourth proportional to 430,209.14, 593,664.22 and 239,218.43 is: 330,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,209.14 : 593,664.22 = 239,218.43 : x
  2. Step 2: Convert to fraction form
    430,209.14/593,664.22 = 239,218.43/x
  3. Step 3: Cross multiply
    430,209.14x = 593,664.22 × 239,218.43
  4. Step 4: Simplify right side
    430,209.14x = 142,015,419,986.28
  5. Step 5: Solve for x
    x = 142,015,419,986.28/430,209.14
  6. Step 6: Final answer
    x = 330,107.87

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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.