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Finding the Fourth Proportional to 465,924.56, 699,152.31 and 181,578.11

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Solution

The fourth proportional to 465,924.56, 699,152.31 and 181,578.11 is: 272,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,924.56 : 699,152.31 = 181,578.11 : x
  2. Step 2: Convert to fraction form
    465,924.56/699,152.31 = 181,578.11/x
  3. Step 3: Cross multiply
    465,924.56x = 699,152.31 × 181,578.11
  4. Step 4: Simplify right side
    465,924.56x = 126,950,751,556.17
  5. Step 5: Solve for x
    x = 126,950,751,556.17/465,924.56
  6. Step 6: Final answer
    x = 272,470.62

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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.