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Finding the Fourth Proportional to 420,942.30, 580,921.11 and 239,657.82

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Solution

The fourth proportional to 420,942.30, 580,921.11 and 239,657.82 is: 330,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,942.30 : 580,921.11 = 239,657.82 : x
  2. Step 2: Convert to fraction form
    420,942.30/580,921.11 = 239,657.82/x
  3. Step 3: Cross multiply
    420,942.30x = 580,921.11 × 239,657.82
  4. Step 4: Simplify right side
    420,942.30x = 139,222,286,814.58
  5. Step 5: Solve for x
    x = 139,222,286,814.58/420,942.30
  6. Step 6: Final answer
    x = 330,739.60

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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.