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Finding the Fourth Proportional to 412,615.26, 619,136.10 and 175,894.38

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Solution

The fourth proportional to 412,615.26, 619,136.10 and 175,894.38 is: 263,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,615.26 : 619,136.10 = 175,894.38 : x
  2. Step 2: Convert to fraction form
    412,615.26/619,136.10 = 175,894.38/x
  3. Step 3: Cross multiply
    412,615.26x = 619,136.10 × 175,894.38
  4. Step 4: Simplify right side
    412,615.26x = 108,902,560,445.12
  5. Step 5: Solve for x
    x = 108,902,560,445.12/412,615.26
  6. Step 6: Final answer
    x = 263,932.46

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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.