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Finding the Fourth Proportional to 351,096.10, 484,512.36 and 198,166.48

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Solution

The fourth proportional to 351,096.10, 484,512.36 and 198,166.48 is: 273,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,096.10 : 484,512.36 = 198,166.48 : x
  2. Step 2: Convert to fraction form
    351,096.10/484,512.36 = 198,166.48/x
  3. Step 3: Cross multiply
    351,096.10x = 484,512.36 × 198,166.48
  4. Step 4: Simplify right side
    351,096.10x = 96,014,108,897.69
  5. Step 5: Solve for x
    x = 96,014,108,897.69/351,096.10
  6. Step 6: Final answer
    x = 273,469.60

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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.