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Finding the Fourth Proportional to 304,773.87, 420,583.30 and 166,951.69

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Solution

The fourth proportional to 304,773.87, 420,583.30 and 166,951.69 is: 230,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,773.87 : 420,583.30 = 166,951.69 : x
  2. Step 2: Convert to fraction form
    304,773.87/420,583.30 = 166,951.69/x
  3. Step 3: Cross multiply
    304,773.87x = 420,583.30 × 166,951.69
  4. Step 4: Simplify right side
    304,773.87x = 70,217,089,783.10
  5. Step 5: Solve for x
    x = 70,217,089,783.10/304,773.87
  6. Step 6: Final answer
    x = 230,390.78

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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.