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Finding the Fourth Proportional to 300,694.58, 414,958.48 and 179,835.84

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Solution

The fourth proportional to 300,694.58, 414,958.48 and 179,835.84 is: 248,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,694.58 : 414,958.48 = 179,835.84 : x
  2. Step 2: Convert to fraction form
    300,694.58/414,958.48 = 179,835.84/x
  3. Step 3: Cross multiply
    300,694.58x = 414,958.48 × 179,835.84
  4. Step 4: Simplify right side
    300,694.58x = 74,624,405,916.74
  5. Step 5: Solve for x
    x = 74,624,405,916.74/300,694.58
  6. Step 6: Final answer
    x = 248,173.44

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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.