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Finding the Fourth Proportional to 406,147.69, 560,631 and 236,381.86

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Solution

The fourth proportional to 406,147.69, 560,631 and 236,381.86 is: 326,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,147.69 : 560,631 = 236,381.86 : x
  2. Step 2: Convert to fraction form
    406,147.69/560,631 = 236,381.86/x
  3. Step 3: Cross multiply
    406,147.69x = 560,631 × 236,381.86
  4. Step 4: Simplify right side
    406,147.69x = 132,522,998,553.66
  5. Step 5: Solve for x
    x = 132,522,998,553.66/406,147.69
  6. Step 6: Final answer
    x = 326,292.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.