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Finding the Fourth Proportional to 264,691.26, 397,054.17 and 193,825.98

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Solution

The fourth proportional to 264,691.26, 397,054.17 and 193,825.98 is: 290,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,691.26 : 397,054.17 = 193,825.98 : x
  2. Step 2: Convert to fraction form
    264,691.26/397,054.17 = 193,825.98/x
  3. Step 3: Cross multiply
    264,691.26x = 397,054.17 × 193,825.98
  4. Step 4: Simplify right side
    264,691.26x = 76,959,413,613.34
  5. Step 5: Solve for x
    x = 76,959,413,613.34/264,691.26
  6. Step 6: Final answer
    x = 290,751.62

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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.