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Finding the Fourth Proportional to 406,132.39, 560,460.78 and 219,863.38

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Solution

The fourth proportional to 406,132.39, 560,460.78 and 219,863.38 is: 303,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,132.39 : 560,460.78 = 219,863.38 : x
  2. Step 2: Convert to fraction form
    406,132.39/560,460.78 = 219,863.38/x
  3. Step 3: Cross multiply
    406,132.39x = 560,460.78 × 219,863.38
  4. Step 4: Simplify right side
    406,132.39x = 123,224,802,589.35
  5. Step 5: Solve for x
    x = 123,224,802,589.35/406,132.39
  6. Step 6: Final answer
    x = 303,410.43

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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.