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Finding the Fourth Proportional to 228,644.57, 343,005.33 and 84,558.84

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Solution

The fourth proportional to 228,644.57, 343,005.33 and 84,558.84 is: 126,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,644.57 : 343,005.33 = 84,558.84 : x
  2. Step 2: Convert to fraction form
    228,644.57/343,005.33 = 84,558.84/x
  3. Step 3: Cross multiply
    228,644.57x = 343,005.33 × 84,558.84
  4. Step 4: Simplify right side
    228,644.57x = 29,004,131,849.44
  5. Step 5: Solve for x
    x = 29,004,131,849.44/228,644.57
  6. Step 6: Final answer
    x = 126,852.48

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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.