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Finding the Fourth Proportional to 229,295.20, 343,651.20 and 204,217.60

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Solution

The fourth proportional to 229,295.20, 343,651.20 and 204,217.60 is: 306,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,295.20 : 343,651.20 = 204,217.60 : x
  2. Step 2: Convert to fraction form
    229,295.20/343,651.20 = 204,217.60/x
  3. Step 3: Cross multiply
    229,295.20x = 343,651.20 × 204,217.60
  4. Step 4: Simplify right side
    229,295.20x = 70,179,623,301.12
  5. Step 5: Solve for x
    x = 70,179,623,301.12/229,295.20
  6. Step 6: Final answer
    x = 306,066.69

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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.