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Finding the Fourth Proportional to 322,514.40, 483,771.60 and 204,319.20

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Solution

The fourth proportional to 322,514.40, 483,771.60 and 204,319.20 is: 306,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,514.40 : 483,771.60 = 204,319.20 : x
  2. Step 2: Convert to fraction form
    322,514.40/483,771.60 = 204,319.20/x
  3. Step 3: Cross multiply
    322,514.40x = 483,771.60 × 204,319.20
  4. Step 4: Simplify right side
    322,514.40x = 98,843,826,294.72
  5. Step 5: Solve for x
    x = 98,843,826,294.72/322,514.40
  6. Step 6: Final answer
    x = 306,478.80

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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.