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Finding the Fourth Proportional to 263,697.80, 395,431.50 and 76,705.16

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Solution

The fourth proportional to 263,697.80, 395,431.50 and 76,705.16 is: 115,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,697.80 : 395,431.50 = 76,705.16 : x
  2. Step 2: Convert to fraction form
    263,697.80/395,431.50 = 76,705.16/x
  3. Step 3: Cross multiply
    263,697.80x = 395,431.50 × 76,705.16
  4. Step 4: Simplify right side
    263,697.80x = 30,331,636,476.54
  5. Step 5: Solve for x
    x = 30,331,636,476.54/263,697.80
  6. Step 6: Final answer
    x = 115,024.23

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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.