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Finding the Fourth Proportional to 329,454.50, 494,193.63 and 92,817.86

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Solution

The fourth proportional to 329,454.50, 494,193.63 and 92,817.86 is: 139,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,454.50 : 494,193.63 = 92,817.86 : x
  2. Step 2: Convert to fraction form
    329,454.50/494,193.63 = 92,817.86/x
  3. Step 3: Cross multiply
    329,454.50x = 494,193.63 × 92,817.86
  4. Step 4: Simplify right side
    329,454.50x = 45,869,995,162.23
  5. Step 5: Solve for x
    x = 45,869,995,162.23/329,454.50
  6. Step 6: Final answer
    x = 139,230.14

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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.