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Finding the Fourth Proportional to 406,874.29, 610,241.77 and 107,357.97

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Solution

The fourth proportional to 406,874.29, 610,241.77 and 107,357.97 is: 161,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,874.29 : 610,241.77 = 107,357.97 : x
  2. Step 2: Convert to fraction form
    406,874.29/610,241.77 = 107,357.97/x
  3. Step 3: Cross multiply
    406,874.29x = 610,241.77 × 107,357.97
  4. Step 4: Simplify right side
    406,874.29x = 65,514,317,636.41
  5. Step 5: Solve for x
    x = 65,514,317,636.41/406,874.29
  6. Step 6: Final answer
    x = 161,018.57

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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.