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Finding the Fourth Proportional to 422,289.88, 582,759.14 and 228,696.98

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Solution

The fourth proportional to 422,289.88, 582,759.14 and 228,696.98 is: 315,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,289.88 : 582,759.14 = 228,696.98 : x
  2. Step 2: Convert to fraction form
    422,289.88/582,759.14 = 228,696.98/x
  3. Step 3: Cross multiply
    422,289.88x = 582,759.14 × 228,696.98
  4. Step 4: Simplify right side
    422,289.88x = 133,275,255,385.40
  5. Step 5: Solve for x
    x = 133,275,255,385.40/422,289.88
  6. Step 6: Final answer
    x = 315,601.35

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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.