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Finding the Fourth Proportional to 300,524.18, 414,733.26 and 164,563.85

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Solution

The fourth proportional to 300,524.18, 414,733.26 and 164,563.85 is: 227,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,524.18 : 414,733.26 = 164,563.85 : x
  2. Step 2: Convert to fraction form
    300,524.18/414,733.26 = 164,563.85/x
  3. Step 3: Cross multiply
    300,524.18x = 414,733.26 × 164,563.85
  4. Step 4: Simplify right side
    300,524.18x = 68,250,103,642.60
  5. Step 5: Solve for x
    x = 68,250,103,642.60/300,524.18
  6. Step 6: Final answer
    x = 227,103.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.