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Finding the Fourth Proportional to 311,666, 467,576.76 and 90,050

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Solution

The fourth proportional to 311,666, 467,576.76 and 90,050 is: 135,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,666 : 467,576.76 = 90,050 : x
  2. Step 2: Convert to fraction form
    311,666/467,576.76 = 90,050/x
  3. Step 3: Cross multiply
    311,666x = 467,576.76 × 90,050
  4. Step 4: Simplify right side
    311,666x = 42,105,287,238
  5. Step 5: Solve for x
    x = 42,105,287,238/311,666
  6. Step 6: Final answer
    x = 135,097.47

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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.