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Finding the Fourth Proportional to 410,224.59, 566,138.31 and 228,971.90

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Solution

The fourth proportional to 410,224.59, 566,138.31 and 228,971.90 is: 315,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,224.59 : 566,138.31 = 228,971.90 : x
  2. Step 2: Convert to fraction form
    410,224.59/566,138.31 = 228,971.90/x
  3. Step 3: Cross multiply
    410,224.59x = 566,138.31 × 228,971.90
  4. Step 4: Simplify right side
    410,224.59x = 129,629,761,672.80
  5. Step 5: Solve for x
    x = 129,629,761,672.80/410,224.59
  6. Step 6: Final answer
    x = 315,997.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.