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Finding the Fourth Proportional to 422,464.84, 582,997.66 and 228,868.11

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Solution

The fourth proportional to 422,464.84, 582,997.66 and 228,868.11 is: 315,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,464.84 : 582,997.66 = 228,868.11 : x
  2. Step 2: Convert to fraction form
    422,464.84/582,997.66 = 228,868.11/x
  3. Step 3: Cross multiply
    422,464.84x = 582,997.66 × 228,868.11
  4. Step 4: Simplify right side
    422,464.84x = 133,429,572,578.62
  5. Step 5: Solve for x
    x = 133,429,572,578.62/422,464.84
  6. Step 6: Final answer
    x = 315,835.92

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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.