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Finding the Fourth Proportional to 329,011.72, 493,517.51 and 179,377.86

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Solution

The fourth proportional to 329,011.72, 493,517.51 and 179,377.86 is: 269,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,011.72 : 493,517.51 = 179,377.86 : x
  2. Step 2: Convert to fraction form
    329,011.72/493,517.51 = 179,377.86/x
  3. Step 3: Cross multiply
    329,011.72x = 493,517.51 × 179,377.86
  4. Step 4: Simplify right side
    329,011.72x = 88,526,112,348.74
  5. Step 5: Solve for x
    x = 88,526,112,348.74/329,011.72
  6. Step 6: Final answer
    x = 269,066.74

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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.