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Finding the Fourth Proportional to 409,893.05, 565,653.41 and 228,616.72

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Solution

The fourth proportional to 409,893.05, 565,653.41 and 228,616.72 is: 315,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.05 : 565,653.41 = 228,616.72 : x
  2. Step 2: Convert to fraction form
    409,893.05/565,653.41 = 228,616.72/x
  3. Step 3: Cross multiply
    409,893.05x = 565,653.41 × 228,616.72
  4. Step 4: Simplify right side
    409,893.05x = 129,317,824,273.42
  5. Step 5: Solve for x
    x = 129,317,824,273.42/409,893.05
  6. Step 6: Final answer
    x = 315,491.63

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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.