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Finding the Fourth Proportional to 317,102.24, 437,514 and 196,185.44

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Solution

The fourth proportional to 317,102.24, 437,514 and 196,185.44 is: 270,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,102.24 : 437,514 = 196,185.44 : x
  2. Step 2: Convert to fraction form
    317,102.24/437,514 = 196,185.44/x
  3. Step 3: Cross multiply
    317,102.24x = 437,514 × 196,185.44
  4. Step 4: Simplify right side
    317,102.24x = 85,833,876,596.16
  5. Step 5: Solve for x
    x = 85,833,876,596.16/317,102.24
  6. Step 6: Final answer
    x = 270,682.03

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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.