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Finding the Fourth Proportional to 311,007.69, 466,512.48 and 86,380.38

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Solution

The fourth proportional to 311,007.69, 466,512.48 and 86,380.38 is: 129,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,007.69 : 466,512.48 = 86,380.38 : x
  2. Step 2: Convert to fraction form
    311,007.69/466,512.48 = 86,380.38/x
  3. Step 3: Cross multiply
    311,007.69x = 466,512.48 × 86,380.38
  4. Step 4: Simplify right side
    311,007.69x = 40,297,525,297.14
  5. Step 5: Solve for x
    x = 40,297,525,297.14/311,007.69
  6. Step 6: Final answer
    x = 129,570.83

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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.