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Finding the Fourth Proportional to 406,102.60, 609,251.10 and 206,453.80

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Solution

The fourth proportional to 406,102.60, 609,251.10 and 206,453.80 is: 309,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,102.60 : 609,251.10 = 206,453.80 : x
  2. Step 2: Convert to fraction form
    406,102.60/609,251.10 = 206,453.80/x
  3. Step 3: Cross multiply
    406,102.60x = 609,251.10 × 206,453.80
  4. Step 4: Simplify right side
    406,102.60x = 125,782,204,749.18
  5. Step 5: Solve for x
    x = 125,782,204,749.18/406,102.60
  6. Step 6: Final answer
    x = 309,730.11

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Why These Related Problems?

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