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Finding the Fourth Proportional to 322,460.40, 483,690.60 and 204,265.20

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Solution

The fourth proportional to 322,460.40, 483,690.60 and 204,265.20 is: 306,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,460.40 : 483,690.60 = 204,265.20 : x
  2. Step 2: Convert to fraction form
    322,460.40/483,690.60 = 204,265.20/x
  3. Step 3: Cross multiply
    322,460.40x = 483,690.60 × 204,265.20
  4. Step 4: Simplify right side
    322,460.40x = 98,801,157,147.12
  5. Step 5: Solve for x
    x = 98,801,157,147.12/322,460.40
  6. Step 6: Final answer
    x = 306,397.80

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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.