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Finding the Fourth Proportional to 300,558.76, 414,766.02 and 166,419.88

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Solution

The fourth proportional to 300,558.76, 414,766.02 and 166,419.88 is: 229,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,558.76 : 414,766.02 = 166,419.88 : x
  2. Step 2: Convert to fraction form
    300,558.76/414,766.02 = 166,419.88/x
  3. Step 3: Cross multiply
    300,558.76x = 414,766.02 × 166,419.88
  4. Step 4: Simplify right side
    300,558.76x = 69,025,311,276.48
  5. Step 5: Solve for x
    x = 69,025,311,276.48/300,558.76
  6. Step 6: Final answer
    x = 229,656.63

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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.