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Finding the Fourth Proportional to 354,679.42, 489,469.42 and 193,543.31

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Solution

The fourth proportional to 354,679.42, 489,469.42 and 193,543.31 is: 267,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,679.42 : 489,469.42 = 193,543.31 : x
  2. Step 2: Convert to fraction form
    354,679.42/489,469.42 = 193,543.31/x
  3. Step 3: Cross multiply
    354,679.42x = 489,469.42 × 193,543.31
  4. Step 4: Simplify right side
    354,679.42x = 94,733,530,722.86
  5. Step 5: Solve for x
    x = 94,733,530,722.86/354,679.42
  6. Step 6: Final answer
    x = 267,096.22

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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.