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Finding the Fourth Proportional to 296,042.90, 408,514.50 and 166,974.26

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Solution

The fourth proportional to 296,042.90, 408,514.50 and 166,974.26 is: 230,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,042.90 : 408,514.50 = 166,974.26 : x
  2. Step 2: Convert to fraction form
    296,042.90/408,514.50 = 166,974.26/x
  3. Step 3: Cross multiply
    296,042.90x = 408,514.50 × 166,974.26
  4. Step 4: Simplify right side
    296,042.90x = 68,211,404,294.20
  5. Step 5: Solve for x
    x = 68,211,404,294.20/296,042.90
  6. Step 6: Final answer
    x = 230,410.54

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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.