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Finding the Fourth Proportional to 300,595, 414,821.22 and 166,459

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Solution

The fourth proportional to 300,595, 414,821.22 and 166,459 is: 229,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,595 : 414,821.22 = 166,459 : x
  2. Step 2: Convert to fraction form
    300,595/414,821.22 = 166,459/x
  3. Step 3: Cross multiply
    300,595x = 414,821.22 × 166,459
  4. Step 4: Simplify right side
    300,595x = 69,050,725,459.98
  5. Step 5: Solve for x
    x = 69,050,725,459.98/300,595
  6. Step 6: Final answer
    x = 229,713.49

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