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Finding the Fourth Proportional to 427,468.20, 641,202.30 and 409,266.60

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Solution

The fourth proportional to 427,468.20, 641,202.30 and 409,266.60 is: 613,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,468.20 : 641,202.30 = 409,266.60 : x
  2. Step 2: Convert to fraction form
    427,468.20/641,202.30 = 409,266.60/x
  3. Step 3: Cross multiply
    427,468.20x = 641,202.30 × 409,266.60
  4. Step 4: Simplify right side
    427,468.20x = 262,422,685,233.18
  5. Step 5: Solve for x
    x = 262,422,685,233.18/427,468.20
  6. Step 6: Final answer
    x = 613,899.90

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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.