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Finding the Fourth Proportional to 231,414.60, 346,200.30 and 209,296.20

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Solution

The fourth proportional to 231,414.60, 346,200.30 and 209,296.20 is: 313,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,414.60 : 346,200.30 = 209,296.20 : x
  2. Step 2: Convert to fraction form
    231,414.60/346,200.30 = 209,296.20/x
  3. Step 3: Cross multiply
    231,414.60x = 346,200.30 × 209,296.20
  4. Step 4: Simplify right side
    231,414.60x = 72,458,407,228.86
  5. Step 5: Solve for x
    x = 72,458,407,228.86/231,414.60
  6. Step 6: Final answer
    x = 313,110.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.