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Finding the Fourth Proportional to 329,086.20, 493,629.30 and 188,729.40

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Solution

The fourth proportional to 329,086.20, 493,629.30 and 188,729.40 is: 283,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,086.20 : 493,629.30 = 188,729.40 : x
  2. Step 2: Convert to fraction form
    329,086.20/493,629.30 = 188,729.40/x
  3. Step 3: Cross multiply
    329,086.20x = 493,629.30 × 188,729.40
  4. Step 4: Simplify right side
    329,086.20x = 93,162,361,611.42
  5. Step 5: Solve for x
    x = 93,162,361,611.42/329,086.20
  6. Step 6: Final answer
    x = 283,094.10

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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.