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Finding the Fourth Proportional to 415,266.23, 622,951.29 and 162,514.07

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Solution

The fourth proportional to 415,266.23, 622,951.29 and 162,514.07 is: 243,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.23 : 622,951.29 = 162,514.07 : x
  2. Step 2: Convert to fraction form
    415,266.23/622,951.29 = 162,514.07/x
  3. Step 3: Cross multiply
    415,266.23x = 622,951.29 × 162,514.07
  4. Step 4: Simplify right side
    415,266.23x = 101,238,350,180.21
  5. Step 5: Solve for x
    x = 101,238,350,180.21/415,266.23
  6. Step 6: Final answer
    x = 243,791.43

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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.