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Finding the Fourth Proportional to 647,710.60, 970,853.10 and 226,769.80

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Solution

The fourth proportional to 647,710.60, 970,853.10 and 226,769.80 is: 339,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,710.60 : 970,853.10 = 226,769.80 : x
  2. Step 2: Convert to fraction form
    647,710.60/970,853.10 = 226,769.80/x
  3. Step 3: Cross multiply
    647,710.60x = 970,853.10 × 226,769.80
  4. Step 4: Simplify right side
    647,710.60x = 220,160,163,316.38
  5. Step 5: Solve for x
    x = 220,160,163,316.38/647,710.60
  6. Step 6: Final answer
    x = 339,905.14

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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.