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Finding the Fourth Proportional to 420,657.44, 580,558.20 and 239,413.46

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Solution

The fourth proportional to 420,657.44, 580,558.20 and 239,413.46 is: 330,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,657.44 : 580,558.20 = 239,413.46 : x
  2. Step 2: Convert to fraction form
    420,657.44/580,558.20 = 239,413.46/x
  3. Step 3: Cross multiply
    420,657.44x = 580,558.20 × 239,413.46
  4. Step 4: Simplify right side
    420,657.44x = 138,993,447,393.37
  5. Step 5: Solve for x
    x = 138,993,447,393.37/420,657.44
  6. Step 6: Final answer
    x = 330,419.56

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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.