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Finding the Fourth Proportional to 647,406.36, 971,251.81 and 198,161.89

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Solution

The fourth proportional to 647,406.36, 971,251.81 and 198,161.89 is: 297,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,406.36 : 971,251.81 = 198,161.89 : x
  2. Step 2: Convert to fraction form
    647,406.36/971,251.81 = 198,161.89/x
  3. Step 3: Cross multiply
    647,406.36x = 971,251.81 × 198,161.89
  4. Step 4: Simplify right side
    647,406.36x = 192,465,094,335.52
  5. Step 5: Solve for x
    x = 192,465,094,335.52/647,406.36
  6. Step 6: Final answer
    x = 297,286.38

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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.