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Finding the Fourth Proportional to 311,882.62, 467,622.79 and 122,362.14

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Solution

The fourth proportional to 311,882.62, 467,622.79 and 122,362.14 is: 183,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,882.62 : 467,622.79 = 122,362.14 : x
  2. Step 2: Convert to fraction form
    311,882.62/467,622.79 = 122,362.14/x
  3. Step 3: Cross multiply
    311,882.62x = 467,622.79 × 122,362.14
  4. Step 4: Simplify right side
    311,882.62x = 57,219,325,297.17
  5. Step 5: Solve for x
    x = 57,219,325,297.17/311,882.62
  6. Step 6: Final answer
    x = 183,464.30

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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.