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Finding the Fourth Proportional to 422,536.94, 583,096 and 228,940.86

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Solution

The fourth proportional to 422,536.94, 583,096 and 228,940.86 is: 315,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,536.94 : 583,096 = 228,940.86 : x
  2. Step 2: Convert to fraction form
    422,536.94/583,096 = 228,940.86/x
  3. Step 3: Cross multiply
    422,536.94x = 583,096 × 228,940.86
  4. Step 4: Simplify right side
    422,536.94x = 133,494,499,702.56
  5. Step 5: Solve for x
    x = 133,494,499,702.56/422,536.94
  6. Step 6: Final answer
    x = 315,935.69

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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.