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Finding the Fourth Proportional to 410,214.31, 566,124.16 and 228,961.60

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Solution

The fourth proportional to 410,214.31, 566,124.16 and 228,961.60 is: 315,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,214.31 : 566,124.16 = 228,961.60 : x
  2. Step 2: Convert to fraction form
    410,214.31/566,124.16 = 228,961.60/x
  3. Step 3: Cross multiply
    410,214.31x = 566,124.16 × 228,961.60
  4. Step 4: Simplify right side
    410,214.31x = 129,620,690,069.23
  5. Step 5: Solve for x
    x = 129,620,690,069.23/410,214.31
  6. Step 6: Final answer
    x = 315,982.86

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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.