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Finding the Fourth Proportional to 647,519.40, 971,194.05 and 198,285.30

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Solution

The fourth proportional to 647,519.40, 971,194.05 and 198,285.30 is: 297,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,519.40 : 971,194.05 = 198,285.30 : x
  2. Step 2: Convert to fraction form
    647,519.40/971,194.05 = 198,285.30/x
  3. Step 3: Cross multiply
    647,519.40x = 971,194.05 × 198,285.30
  4. Step 4: Simplify right side
    647,519.40x = 192,573,503,562.47
  5. Step 5: Solve for x
    x = 192,573,503,562.47/647,519.40
  6. Step 6: Final answer
    x = 297,401.91

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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.