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Finding the Fourth Proportional to 406,129.33, 609,753.03 and 206,584.75

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Solution

The fourth proportional to 406,129.33, 609,753.03 and 206,584.75 is: 310,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,129.33 : 609,753.03 = 206,584.75 : x
  2. Step 2: Convert to fraction form
    406,129.33/609,753.03 = 206,584.75/x
  3. Step 3: Cross multiply
    406,129.33x = 609,753.03 × 206,584.75
  4. Step 4: Simplify right side
    406,129.33x = 125,965,677,264.29
  5. Step 5: Solve for x
    x = 125,965,677,264.29/406,129.33
  6. Step 6: Final answer
    x = 310,161.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.