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Finding the Fourth Proportional to 231,402.60, 346,182.30 and 209,284.20

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Solution

The fourth proportional to 231,402.60, 346,182.30 and 209,284.20 is: 313,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,402.60 : 346,182.30 = 209,284.20 : x
  2. Step 2: Convert to fraction form
    231,402.60/346,182.30 = 209,284.20/x
  3. Step 3: Cross multiply
    231,402.60x = 346,182.30 × 209,284.20
  4. Step 4: Simplify right side
    231,402.60x = 72,450,485,709.66
  5. Step 5: Solve for x
    x = 72,450,485,709.66/231,402.60
  6. Step 6: Final answer
    x = 313,092.79

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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.