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Finding the Fourth Proportional to 406,397.38, 560,822.01 and 222,634.48

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Solution

The fourth proportional to 406,397.38, 560,822.01 and 222,634.48 is: 307,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397.38 : 560,822.01 = 222,634.48 : x
  2. Step 2: Convert to fraction form
    406,397.38/560,822.01 = 222,634.48/x
  3. Step 3: Cross multiply
    406,397.38x = 560,822.01 × 222,634.48
  4. Step 4: Simplify right side
    406,397.38x = 124,858,316,568.91
  5. Step 5: Solve for x
    x = 124,858,316,568.91/406,397.38
  6. Step 6: Final answer
    x = 307,232.09

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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.