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Finding the Fourth Proportional to 647,781.90, 971,637.78 and 198,504.06

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Solution

The fourth proportional to 647,781.90, 971,637.78 and 198,504.06 is: 297,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,781.90 : 971,637.78 = 198,504.06 : x
  2. Step 2: Convert to fraction form
    647,781.90/971,637.78 = 198,504.06/x
  3. Step 3: Cross multiply
    647,781.90x = 971,637.78 × 198,504.06
  4. Step 4: Simplify right side
    647,781.90x = 192,874,041,280.14
  5. Step 5: Solve for x
    x = 192,874,041,280.14/647,781.90
  6. Step 6: Final answer
    x = 297,745.34

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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.