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Finding the Fourth Proportional to 320,971.32, 442,942.56 and 177,740.64

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Solution

The fourth proportional to 320,971.32, 442,942.56 and 177,740.64 is: 245,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,971.32 : 442,942.56 = 177,740.64 : x
  2. Step 2: Convert to fraction form
    320,971.32/442,942.56 = 177,740.64/x
  3. Step 3: Cross multiply
    320,971.32x = 442,942.56 × 177,740.64
  4. Step 4: Simplify right side
    320,971.32x = 78,728,894,097.64
  5. Step 5: Solve for x
    x = 78,728,894,097.64/320,971.32
  6. Step 6: Final answer
    x = 245,283.27

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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.