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Finding the Fourth Proportional to 231,403.60, 346,183.80 and 209,285.20

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Solution

The fourth proportional to 231,403.60, 346,183.80 and 209,285.20 is: 313,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,403.60 : 346,183.80 = 209,285.20 : x
  2. Step 2: Convert to fraction form
    231,403.60/346,183.80 = 209,285.20/x
  3. Step 3: Cross multiply
    231,403.60x = 346,183.80 × 209,285.20
  4. Step 4: Simplify right side
    231,403.60x = 72,451,145,819.76
  5. Step 5: Solve for x
    x = 72,451,145,819.76/231,403.60
  6. Step 6: Final answer
    x = 313,094.29

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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.