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Finding the Fourth Proportional to 329,168.42, 493,702.17 and 104,499.73

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Solution

The fourth proportional to 329,168.42, 493,702.17 and 104,499.73 is: 156,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,168.42 : 493,702.17 = 104,499.73 : x
  2. Step 2: Convert to fraction form
    329,168.42/493,702.17 = 104,499.73/x
  3. Step 3: Cross multiply
    329,168.42x = 493,702.17 × 104,499.73
  4. Step 4: Simplify right side
    329,168.42x = 51,591,743,465.41
  5. Step 5: Solve for x
    x = 51,591,743,465.41/329,168.42
  6. Step 6: Final answer
    x = 156,733.58

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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.