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Finding the Fourth Proportional to 406,129.08, 609,752.66 and 206,584.50

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Solution

The fourth proportional to 406,129.08, 609,752.66 and 206,584.50 is: 310,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,129.08 : 609,752.66 = 206,584.50 : x
  2. Step 2: Convert to fraction form
    406,129.08/609,752.66 = 206,584.50/x
  3. Step 3: Cross multiply
    406,129.08x = 609,752.66 × 206,584.50
  4. Step 4: Simplify right side
    406,129.08x = 125,965,447,356.85
  5. Step 5: Solve for x
    x = 125,965,447,356.85/406,129.08
  6. Step 6: Final answer
    x = 310,161.11

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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.