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Finding the Fourth Proportional to 329,093.27, 493,659.05 and 92,454.41

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Solution

The fourth proportional to 329,093.27, 493,659.05 and 92,454.41 is: 138,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,093.27 : 493,659.05 = 92,454.41 : x
  2. Step 2: Convert to fraction form
    329,093.27/493,659.05 = 92,454.41/x
  3. Step 3: Cross multiply
    329,093.27x = 493,659.05 × 92,454.41
  4. Step 4: Simplify right side
    329,093.27x = 45,640,953,278.34
  5. Step 5: Solve for x
    x = 45,640,953,278.34/329,093.27
  6. Step 6: Final answer
    x = 138,686.98

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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.