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Finding the Fourth Proportional to 260,462.73, 389,628.30 and 196,809.69

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Solution

The fourth proportional to 260,462.73, 389,628.30 and 196,809.69 is: 294,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,462.73 : 389,628.30 = 196,809.69 : x
  2. Step 2: Convert to fraction form
    260,462.73/389,628.30 = 196,809.69/x
  3. Step 3: Cross multiply
    260,462.73x = 389,628.30 × 196,809.69
  4. Step 4: Simplify right side
    260,462.73x = 76,682,624,938.23
  5. Step 5: Solve for x
    x = 76,682,624,938.23/260,462.73
  6. Step 6: Final answer
    x = 294,409.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.