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Finding the Fourth Proportional to 329,093.76, 493,659.77 and 92,454.89

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Solution

The fourth proportional to 329,093.76, 493,659.77 and 92,454.89 is: 138,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,093.76 : 493,659.77 = 92,454.89 : x
  2. Step 2: Convert to fraction form
    329,093.76/493,659.77 = 92,454.89/x
  3. Step 3: Cross multiply
    329,093.76x = 493,659.77 × 92,454.89
  4. Step 4: Simplify right side
    329,093.76x = 45,641,261,198.06
  5. Step 5: Solve for x
    x = 45,641,261,198.06/329,093.76
  6. Step 6: Final answer
    x = 138,687.71

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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.