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Finding the Fourth Proportional to 422,402.84, 582,911.06 and 228,806.85

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Solution

The fourth proportional to 422,402.84, 582,911.06 and 228,806.85 is: 315,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,402.84 : 582,911.06 = 228,806.85 : x
  2. Step 2: Convert to fraction form
    422,402.84/582,911.06 = 228,806.85/x
  3. Step 3: Cross multiply
    422,402.84x = 582,911.06 × 228,806.85
  4. Step 4: Simplify right side
    422,402.84x = 133,374,042,324.73
  5. Step 5: Solve for x
    x = 133,374,042,324.73/422,402.84
  6. Step 6: Final answer
    x = 315,750.82

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1.5x scale

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.