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Finding the Fourth Proportional to 406,132.08, 609,757.16 and 206,587.50

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Solution

The fourth proportional to 406,132.08, 609,757.16 and 206,587.50 is: 310,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,132.08 : 609,757.16 = 206,587.50 : x
  2. Step 2: Convert to fraction form
    406,132.08/609,757.16 = 206,587.50/x
  3. Step 3: Cross multiply
    406,132.08x = 609,757.16 × 206,587.50
  4. Step 4: Simplify right side
    406,132.08x = 125,968,206,258.56
  5. Step 5: Solve for x
    x = 125,968,206,258.56/406,132.08
  6. Step 6: Final answer
    x = 310,165.61

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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.