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Finding the Fourth Proportional to 647,809.94, 971,891.44 and 198,520.86

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Solution

The fourth proportional to 647,809.94, 971,891.44 and 198,520.86 is: 297,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,809.94 : 971,891.44 = 198,520.86 : x
  2. Step 2: Convert to fraction form
    647,809.94/971,891.44 = 198,520.86/x
  3. Step 3: Cross multiply
    647,809.94x = 971,891.44 × 198,520.86
  4. Step 4: Simplify right side
    647,809.94x = 192,940,724,495.44
  5. Step 5: Solve for x
    x = 192,940,724,495.44/647,809.94
  6. Step 6: Final answer
    x = 297,835.39

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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.