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Finding the Fourth Proportional to 654,194.64, 980,972.12 and 269,871.92

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Solution

The fourth proportional to 654,194.64, 980,972.12 and 269,871.92 is: 404,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,194.64 : 980,972.12 = 269,871.92 : x
  2. Step 2: Convert to fraction form
    654,194.64/980,972.12 = 269,871.92/x
  3. Step 3: Cross multiply
    654,194.64x = 980,972.12 × 269,871.92
  4. Step 4: Simplify right side
    654,194.64x = 264,736,823,236.65
  5. Step 5: Solve for x
    x = 264,736,823,236.65/654,194.64
  6. Step 6: Final answer
    x = 404,675.93

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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.