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Finding the Fourth Proportional to 300,577, 414,796.26 and 166,441

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Solution

The fourth proportional to 300,577, 414,796.26 and 166,441 is: 229,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,577 : 414,796.26 = 166,441 : x
  2. Step 2: Convert to fraction form
    300,577/414,796.26 = 166,441/x
  3. Step 3: Cross multiply
    300,577x = 414,796.26 × 166,441
  4. Step 4: Simplify right side
    300,577x = 69,039,104,310.66
  5. Step 5: Solve for x
    x = 69,039,104,310.66/300,577
  6. Step 6: Final answer
    x = 229,688.58

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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.