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Finding the Fourth Proportional to 422,369.24, 582,864.89 and 228,772.16

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Solution

The fourth proportional to 422,369.24, 582,864.89 and 228,772.16 is: 315,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,369.24 : 582,864.89 = 228,772.16 : x
  2. Step 2: Convert to fraction form
    422,369.24/582,864.89 = 228,772.16/x
  3. Step 3: Cross multiply
    422,369.24x = 582,864.89 × 228,772.16
  4. Step 4: Simplify right side
    422,369.24x = 133,343,255,815.28
  5. Step 5: Solve for x
    x = 133,343,255,815.28/422,369.24
  6. Step 6: Final answer
    x = 315,703.04

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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.