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Finding the Fourth Proportional to 420,437.46, 580,189.05 and 239,135.70

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Solution

The fourth proportional to 420,437.46, 580,189.05 and 239,135.70 is: 329,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,437.46 : 580,189.05 = 239,135.70 : x
  2. Step 2: Convert to fraction form
    420,437.46/580,189.05 = 239,135.70/x
  3. Step 3: Cross multiply
    420,437.46x = 580,189.05 × 239,135.70
  4. Step 4: Simplify right side
    420,437.46x = 138,743,914,604.09
  5. Step 5: Solve for x
    x = 138,743,914,604.09/420,437.46
  6. Step 6: Final answer
    x = 329,998.94

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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.