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Finding the Fourth Proportional to 647,713.60, 970,857.60 and 226,772.80

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Solution

The fourth proportional to 647,713.60, 970,857.60 and 226,772.80 is: 339,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,713.60 : 970,857.60 = 226,772.80 : x
  2. Step 2: Convert to fraction form
    647,713.60/970,857.60 = 226,772.80/x
  3. Step 3: Cross multiply
    647,713.60x = 970,857.60 × 226,772.80
  4. Step 4: Simplify right side
    647,713.60x = 220,164,096,353.28
  5. Step 5: Solve for x
    x = 220,164,096,353.28/647,713.60
  6. Step 6: Final answer
    x = 339,909.64

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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.