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Finding the Fourth Proportional to 329,804.20, 494,706.30 and 188,086.60

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Solution

The fourth proportional to 329,804.20, 494,706.30 and 188,086.60 is: 282,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,804.20 : 494,706.30 = 188,086.60 : x
  2. Step 2: Convert to fraction form
    329,804.20/494,706.30 = 188,086.60/x
  3. Step 3: Cross multiply
    329,804.20x = 494,706.30 × 188,086.60
  4. Step 4: Simplify right side
    329,804.20x = 93,047,625,965.58
  5. Step 5: Solve for x
    x = 93,047,625,965.58/329,804.20
  6. Step 6: Final answer
    x = 282,129.90

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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.