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Finding the Fourth Proportional to 304,213.74, 419,815.92 and 170,077.74

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Solution

The fourth proportional to 304,213.74, 419,815.92 and 170,077.74 is: 234,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,213.74 : 419,815.92 = 170,077.74 : x
  2. Step 2: Convert to fraction form
    304,213.74/419,815.92 = 170,077.74/x
  3. Step 3: Cross multiply
    304,213.74x = 419,815.92 × 170,077.74
  4. Step 4: Simplify right side
    304,213.74x = 71,401,342,889.62
  5. Step 5: Solve for x
    x = 71,401,342,889.62/304,213.74
  6. Step 6: Final answer
    x = 234,707.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.