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Finding the Fourth Proportional to 232,442.40, 320,923.92 and 178,629.60

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Solution

The fourth proportional to 232,442.40, 320,923.92 and 178,629.60 is: 246,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,442.40 : 320,923.92 = 178,629.60 : x
  2. Step 2: Convert to fraction form
    232,442.40/320,923.92 = 178,629.60/x
  3. Step 3: Cross multiply
    232,442.40x = 320,923.92 × 178,629.60
  4. Step 4: Simplify right side
    232,442.40x = 57,326,511,460.03
  5. Step 5: Solve for x
    x = 57,326,511,460.03/232,442.40
  6. Step 6: Final answer
    x = 246,626.74

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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.