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Finding the Fourth Proportional to 329,104.60, 493,604.10 and 118,634.20

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Solution

The fourth proportional to 329,104.60, 493,604.10 and 118,634.20 is: 177,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,104.60 : 493,604.10 = 118,634.20 : x
  2. Step 2: Convert to fraction form
    329,104.60/493,604.10 = 118,634.20/x
  3. Step 3: Cross multiply
    329,104.60x = 493,604.10 × 118,634.20
  4. Step 4: Simplify right side
    329,104.60x = 58,558,327,520.22
  5. Step 5: Solve for x
    x = 58,558,327,520.22/329,104.60
  6. Step 6: Final answer
    x = 177,932.27

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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.