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Finding the Fourth Proportional to 320,516.40, 442,301.60 and 177,276

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Solution

The fourth proportional to 320,516.40, 442,301.60 and 177,276 is: 244,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,516.40 : 442,301.60 = 177,276 : x
  2. Step 2: Convert to fraction form
    320,516.40/442,301.60 = 177,276/x
  3. Step 3: Cross multiply
    320,516.40x = 442,301.60 × 177,276
  4. Step 4: Simplify right side
    320,516.40x = 78,409,458,441.60
  5. Step 5: Solve for x
    x = 78,409,458,441.60/320,516.40
  6. Step 6: Final answer
    x = 244,634.78

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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.