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Finding the Fourth Proportional to 407,169.23, 610,757.09 and 167,221.31

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Solution

The fourth proportional to 407,169.23, 610,757.09 and 167,221.31 is: 250,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,169.23 : 610,757.09 = 167,221.31 : x
  2. Step 2: Convert to fraction form
    407,169.23/610,757.09 = 167,221.31/x
  3. Step 3: Cross multiply
    407,169.23x = 610,757.09 × 167,221.31
  4. Step 4: Simplify right side
    407,169.23x = 102,131,600,681.59
  5. Step 5: Solve for x
    x = 102,131,600,681.59/407,169.23
  6. Step 6: Final answer
    x = 250,833.30

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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.