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Finding the Fourth Proportional to 409,736.34, 565,394.94 and 228,431.34

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Solution

The fourth proportional to 409,736.34, 565,394.94 and 228,431.34 is: 315,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,736.34 : 565,394.94 = 228,431.34 : x
  2. Step 2: Convert to fraction form
    409,736.34/565,394.94 = 228,431.34/x
  3. Step 3: Cross multiply
    409,736.34x = 565,394.94 × 228,431.34
  4. Step 4: Simplify right side
    409,736.34x = 129,153,923,773.42
  5. Step 5: Solve for x
    x = 129,153,923,773.42/409,736.34
  6. Step 6: Final answer
    x = 315,212.27

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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.