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Finding the Fourth Proportional to 309,940.56, 464,749.52 and 110,231.82

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Solution

The fourth proportional to 309,940.56, 464,749.52 and 110,231.82 is: 165,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,940.56 : 464,749.52 = 110,231.82 : x
  2. Step 2: Convert to fraction form
    309,940.56/464,749.52 = 110,231.82/x
  3. Step 3: Cross multiply
    309,940.56x = 464,749.52 × 110,231.82
  4. Step 4: Simplify right side
    309,940.56x = 51,230,184,882.57
  5. Step 5: Solve for x
    x = 51,230,184,882.57/309,940.56
  6. Step 6: Final answer
    x = 165,290.35

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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.