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Finding the Fourth Proportional to 300,517.84, 414,742.44 and 166,381.84

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Solution

The fourth proportional to 300,517.84, 414,742.44 and 166,381.84 is: 229,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,517.84 : 414,742.44 = 166,381.84 : x
  2. Step 2: Convert to fraction form
    300,517.84/414,742.44 = 166,381.84/x
  3. Step 3: Cross multiply
    300,517.84x = 414,742.44 × 166,381.84
  4. Step 4: Simplify right side
    300,517.84x = 69,005,610,293.29
  5. Step 5: Solve for x
    x = 69,005,610,293.29/300,517.84
  6. Step 6: Final answer
    x = 229,622.34

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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.