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Finding the Fourth Proportional to 422,203.26, 582,641.38 and 228,613.08

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Solution

The fourth proportional to 422,203.26, 582,641.38 and 228,613.08 is: 315,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,203.26 : 582,641.38 = 228,613.08 : x
  2. Step 2: Convert to fraction form
    422,203.26/582,641.38 = 228,613.08/x
  3. Step 3: Cross multiply
    422,203.26x = 582,641.38 × 228,613.08
  4. Step 4: Simplify right side
    422,203.26x = 133,199,436,932.51
  5. Step 5: Solve for x
    x = 133,199,436,932.51/422,203.26
  6. Step 6: Final answer
    x = 315,486.52

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Why These Related Problems?

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