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Finding the Fourth Proportional to 409,847.11, 565,592.30 and 228,570.73

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Solution

The fourth proportional to 409,847.11, 565,592.30 and 228,570.73 is: 315,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,847.11 : 565,592.30 = 228,570.73 : x
  2. Step 2: Convert to fraction form
    409,847.11/565,592.30 = 228,570.73/x
  3. Step 3: Cross multiply
    409,847.11x = 565,592.30 × 228,570.73
  4. Step 4: Simplify right side
    409,847.11x = 129,277,844,893.38
  5. Step 5: Solve for x
    x = 129,277,844,893.38/409,847.11
  6. Step 6: Final answer
    x = 315,429.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.