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Finding the Fourth Proportional to 470,241.69, 649,202.52 and 309,563.82

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Solution

The fourth proportional to 470,241.69, 649,202.52 and 309,563.82 is: 427,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,241.69 : 649,202.52 = 309,563.82 : x
  2. Step 2: Convert to fraction form
    470,241.69/649,202.52 = 309,563.82/x
  3. Step 3: Cross multiply
    470,241.69x = 649,202.52 × 309,563.82
  4. Step 4: Simplify right side
    470,241.69x = 200,969,613,205.69
  5. Step 5: Solve for x
    x = 200,969,613,205.69/470,241.69
  6. Step 6: Final answer
    x = 427,375.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.