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Finding the Fourth Proportional to 263,696.80, 395,430 and 76,704.16

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Solution

The fourth proportional to 263,696.80, 395,430 and 76,704.16 is: 115,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,696.80 : 395,430 = 76,704.16 : x
  2. Step 2: Convert to fraction form
    263,696.80/395,430 = 76,704.16/x
  3. Step 3: Cross multiply
    263,696.80x = 395,430 × 76,704.16
  4. Step 4: Simplify right side
    263,696.80x = 30,331,125,988.80
  5. Step 5: Solve for x
    x = 30,331,125,988.80/263,696.80
  6. Step 6: Final answer
    x = 115,022.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.