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Finding the Fourth Proportional to 647,677.84, 971,581.54 and 198,393.52

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Solution

The fourth proportional to 647,677.84, 971,581.54 and 198,393.52 is: 297,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,677.84 : 971,581.54 = 198,393.52 : x
  2. Step 2: Convert to fraction form
    647,677.84/971,581.54 = 198,393.52/x
  3. Step 3: Cross multiply
    647,677.84x = 971,581.54 × 198,393.52
  4. Step 4: Simplify right side
    647,677.84x = 192,755,481,687.62
  5. Step 5: Solve for x
    x = 192,755,481,687.62/647,677.84
  6. Step 6: Final answer
    x = 297,610.12

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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.