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Finding the Fourth Proportional to 324,412.62, 486,632.33 and 111,327

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Solution

The fourth proportional to 324,412.62, 486,632.33 and 111,327 is: 166,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,412.62 : 486,632.33 = 111,327 : x
  2. Step 2: Convert to fraction form
    324,412.62/486,632.33 = 111,327/x
  3. Step 3: Cross multiply
    324,412.62x = 486,632.33 × 111,327
  4. Step 4: Simplify right side
    324,412.62x = 54,175,316,845.28
  5. Step 5: Solve for x
    x = 54,175,316,845.28/324,412.62
  6. Step 6: Final answer
    x = 166,995.10

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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.