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Finding the Fourth Proportional to 313,796.65, 433,042.01 and 170,556.66

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Solution

The fourth proportional to 313,796.65, 433,042.01 and 170,556.66 is: 235,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,796.65 : 433,042.01 = 170,556.66 : x
  2. Step 2: Convert to fraction form
    313,796.65/433,042.01 = 170,556.66/x
  3. Step 3: Cross multiply
    313,796.65x = 433,042.01 × 170,556.66
  4. Step 4: Simplify right side
    313,796.65x = 73,858,198,865.29
  5. Step 5: Solve for x
    x = 73,858,198,865.29/313,796.65
  6. Step 6: Final answer
    x = 235,369.62

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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.