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Finding the Fourth Proportional to 647,937.90, 971,906.85 and 412,325.10

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Solution

The fourth proportional to 647,937.90, 971,906.85 and 412,325.10 is: 618,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,937.90 : 971,906.85 = 412,325.10 : x
  2. Step 2: Convert to fraction form
    647,937.90/971,906.85 = 412,325.10/x
  3. Step 3: Cross multiply
    647,937.90x = 971,906.85 × 412,325.10
  4. Step 4: Simplify right side
    647,937.90x = 400,741,589,116.94
  5. Step 5: Solve for x
    x = 400,741,589,116.94/647,937.90
  6. Step 6: Final answer
    x = 618,487.65

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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.