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Finding the Fourth Proportional to 309,546.65, 464,242.01 and 119,941.85

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Solution

The fourth proportional to 309,546.65, 464,242.01 and 119,941.85 is: 179,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,546.65 : 464,242.01 = 119,941.85 : x
  2. Step 2: Convert to fraction form
    309,546.65/464,242.01 = 119,941.85/x
  3. Step 3: Cross multiply
    309,546.65x = 464,242.01 × 119,941.85
  4. Step 4: Simplify right side
    309,546.65x = 55,682,042,606.20
  5. Step 5: Solve for x
    x = 55,682,042,606.20/309,546.65
  6. Step 6: Final answer
    x = 179,882.56

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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.