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Finding the Fourth Proportional to 410,213.93, 566,123.64 and 228,961.22

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Solution

The fourth proportional to 410,213.93, 566,123.64 and 228,961.22 is: 315,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,213.93 : 566,123.64 = 228,961.22 : x
  2. Step 2: Convert to fraction form
    410,213.93/566,123.64 = 228,961.22/x
  3. Step 3: Cross multiply
    410,213.93x = 566,123.64 × 228,961.22
  4. Step 4: Simplify right side
    410,213.93x = 129,620,359,285.24
  5. Step 5: Solve for x
    x = 129,620,359,285.24/410,213.93
  6. Step 6: Final answer
    x = 315,982.34

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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.