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Finding the Fourth Proportional to 512,649.60, 769,108.80 and 197,116.80

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Solution

The fourth proportional to 512,649.60, 769,108.80 and 197,116.80 is: 295,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,649.60 : 769,108.80 = 197,116.80 : x
  2. Step 2: Convert to fraction form
    512,649.60/769,108.80 = 197,116.80/x
  3. Step 3: Cross multiply
    512,649.60x = 769,108.80 × 197,116.80
  4. Step 4: Simplify right side
    512,649.60x = 151,604,265,507.84
  5. Step 5: Solve for x
    x = 151,604,265,507.84/512,649.60
  6. Step 6: Final answer
    x = 295,726.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.