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Finding the Fourth Proportional to 406,135.08, 609,761.67 and 206,590.50

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Solution

The fourth proportional to 406,135.08, 609,761.67 and 206,590.50 is: 310,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,135.08 : 609,761.67 = 206,590.50 : x
  2. Step 2: Convert to fraction form
    406,135.08/609,761.67 = 206,590.50/x
  3. Step 3: Cross multiply
    406,135.08x = 609,761.67 × 206,590.50
  4. Step 4: Simplify right side
    406,135.08x = 125,970,968,286.14
  5. Step 5: Solve for x
    x = 125,970,968,286.14/406,135.08
  6. Step 6: Final answer
    x = 310,170.12

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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.