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Finding the Fourth Proportional to 311,563.56, 467,345.22 and 74,906.16

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Solution

The fourth proportional to 311,563.56, 467,345.22 and 74,906.16 is: 112,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,563.56 : 467,345.22 = 74,906.16 : x
  2. Step 2: Convert to fraction form
    311,563.56/467,345.22 = 74,906.16/x
  3. Step 3: Cross multiply
    311,563.56x = 467,345.22 × 74,906.16
  4. Step 4: Simplify right side
    311,563.56x = 35,007,035,824.56
  5. Step 5: Solve for x
    x = 35,007,035,824.56/311,563.56
  6. Step 6: Final answer
    x = 112,359.21

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Why These Related Problems?

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