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Finding the Fourth Proportional to 647,517.60, 971,305.20 and 221,047.20

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Solution

The fourth proportional to 647,517.60, 971,305.20 and 221,047.20 is: 331,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,517.60 : 971,305.20 = 221,047.20 : x
  2. Step 2: Convert to fraction form
    647,517.60/971,305.20 = 221,047.20/x
  3. Step 3: Cross multiply
    647,517.60x = 971,305.20 × 221,047.20
  4. Step 4: Simplify right side
    647,517.60x = 214,704,294,805.44
  5. Step 5: Solve for x
    x = 214,704,294,805.44/647,517.60
  6. Step 6: Final answer
    x = 331,580.63

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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.