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Finding the Fourth Proportional to 229,494.40, 343,550.40 and 204,611.20

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Solution

The fourth proportional to 229,494.40, 343,550.40 and 204,611.20 is: 306,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,494.40 : 343,550.40 = 204,611.20 : x
  2. Step 2: Convert to fraction form
    229,494.40/343,550.40 = 204,611.20/x
  3. Step 3: Cross multiply
    229,494.40x = 343,550.40 × 204,611.20
  4. Step 4: Simplify right side
    229,494.40x = 70,294,259,604.48
  5. Step 5: Solve for x
    x = 70,294,259,604.48/229,494.40
  6. Step 6: Final answer
    x = 306,300.54

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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.