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Finding the Fourth Proportional to 332,716.80, 498,419.10 and 199,200.45

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Solution

The fourth proportional to 332,716.80, 498,419.10 and 199,200.45 is: 298,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,716.80 : 498,419.10 = 199,200.45 : x
  2. Step 2: Convert to fraction form
    332,716.80/498,419.10 = 199,200.45/x
  3. Step 3: Cross multiply
    332,716.80x = 498,419.10 × 199,200.45
  4. Step 4: Simplify right side
    332,716.80x = 99,285,309,008.60
  5. Step 5: Solve for x
    x = 99,285,309,008.60/332,716.80
  6. Step 6: Final answer
    x = 298,407.86

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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.