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Finding the Fourth Proportional to 406,438.26, 560,770.25 and 234,342.69

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Solution

The fourth proportional to 406,438.26, 560,770.25 and 234,342.69 is: 323,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,438.26 : 560,770.25 = 234,342.69 : x
  2. Step 2: Convert to fraction form
    406,438.26/560,770.25 = 234,342.69/x
  3. Step 3: Cross multiply
    406,438.26x = 560,770.25 × 234,342.69
  4. Step 4: Simplify right side
    406,438.26x = 131,412,407,685.26
  5. Step 5: Solve for x
    x = 131,412,407,685.26/406,438.26
  6. Step 6: Final answer
    x = 323,326.86

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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.