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Finding the Fourth Proportional to 229,079.74, 343,630.41 and 189,024.43

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Solution

The fourth proportional to 229,079.74, 343,630.41 and 189,024.43 is: 283,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,079.74 : 343,630.41 = 189,024.43 : x
  2. Step 2: Convert to fraction form
    229,079.74/343,630.41 = 189,024.43/x
  3. Step 3: Cross multiply
    229,079.74x = 343,630.41 × 189,024.43
  4. Step 4: Simplify right side
    229,079.74x = 64,954,542,380.92
  5. Step 5: Solve for x
    x = 64,954,542,380.92/229,079.74
  6. Step 6: Final answer
    x = 283,545.56

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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.