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Finding the Fourth Proportional to 321,896.32, 444,213.66 and 178,657.60

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Solution

The fourth proportional to 321,896.32, 444,213.66 and 178,657.60 is: 246,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896.32 : 444,213.66 = 178,657.60 : x
  2. Step 2: Convert to fraction form
    321,896.32/444,213.66 = 178,657.60/x
  3. Step 3: Cross multiply
    321,896.32x = 444,213.66 × 178,657.60
  4. Step 4: Simplify right side
    321,896.32x = 79,362,146,382.82
  5. Step 5: Solve for x
    x = 79,362,146,382.82/321,896.32
  6. Step 6: Final answer
    x = 246,545.68

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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.