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Finding the Fourth Proportional to 409,771.19, 565,481.90 and 228,485.30

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Solution

The fourth proportional to 409,771.19, 565,481.90 and 228,485.30 is: 315,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,771.19 : 565,481.90 = 228,485.30 : x
  2. Step 2: Convert to fraction form
    409,771.19/565,481.90 = 228,485.30/x
  3. Step 3: Cross multiply
    409,771.19x = 565,481.90 × 228,485.30
  4. Step 4: Simplify right side
    409,771.19x = 129,204,297,596.23
  5. Step 5: Solve for x
    x = 129,204,297,596.23/409,771.19
  6. Step 6: Final answer
    x = 315,308.40

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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.