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Finding the Fourth Proportional to 424,843.98, 637,660.17 and 214,629.54

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Solution

The fourth proportional to 424,843.98, 637,660.17 and 214,629.54 is: 322,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,843.98 : 637,660.17 = 214,629.54 : x
  2. Step 2: Convert to fraction form
    424,843.98/637,660.17 = 214,629.54/x
  3. Step 3: Cross multiply
    424,843.98x = 637,660.17 × 214,629.54
  4. Step 4: Simplify right side
    424,843.98x = 136,860,708,963.42
  5. Step 5: Solve for x
    x = 136,860,708,963.42/424,843.98
  6. Step 6: Final answer
    x = 322,143.46

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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.