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Finding the Fourth Proportional to 226,972.40, 340,458.60 and 205,199.60

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Solution

The fourth proportional to 226,972.40, 340,458.60 and 205,199.60 is: 307,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,972.40 : 340,458.60 = 205,199.60 : x
  2. Step 2: Convert to fraction form
    226,972.40/340,458.60 = 205,199.60/x
  3. Step 3: Cross multiply
    226,972.40x = 340,458.60 × 205,199.60
  4. Step 4: Simplify right side
    226,972.40x = 69,861,968,536.56
  5. Step 5: Solve for x
    x = 69,861,968,536.56/226,972.40
  6. Step 6: Final answer
    x = 307,799.40

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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.