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Finding the Fourth Proportional to 406,396.38, 560,820.63 and 222,633.48

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Solution

The fourth proportional to 406,396.38, 560,820.63 and 222,633.48 is: 307,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,396.38 : 560,820.63 = 222,633.48 : x
  2. Step 2: Convert to fraction form
    406,396.38/560,820.63 = 222,633.48/x
  3. Step 3: Cross multiply
    406,396.38x = 560,820.63 × 222,633.48
  4. Step 4: Simplify right side
    406,396.38x = 124,857,448,512.69
  5. Step 5: Solve for x
    x = 124,857,448,512.69/406,396.38
  6. Step 6: Final answer
    x = 307,230.71

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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.