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Finding the Fourth Proportional to 654,364.40, 981,611.40 and 227,834.60

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Solution

The fourth proportional to 654,364.40, 981,611.40 and 227,834.60 is: 341,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,364.40 : 981,611.40 = 227,834.60 : x
  2. Step 2: Convert to fraction form
    654,364.40/981,611.40 = 227,834.60/x
  3. Step 3: Cross multiply
    654,364.40x = 981,611.40 × 227,834.60
  4. Step 4: Simplify right side
    654,364.40x = 223,645,040,674.44
  5. Step 5: Solve for x
    x = 223,645,040,674.44/654,364.40
  6. Step 6: Final answer
    x = 341,774.46

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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.