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Finding the Fourth Proportional to 282,034.60, 422,915.78 and 163,735.72

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Solution

The fourth proportional to 282,034.60, 422,915.78 and 163,735.72 is: 245,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,034.60 : 422,915.78 = 163,735.72 : x
  2. Step 2: Convert to fraction form
    282,034.60/422,915.78 = 163,735.72/x
  3. Step 3: Cross multiply
    282,034.60x = 422,915.78 × 163,735.72
  4. Step 4: Simplify right side
    282,034.60x = 69,246,419,737.66
  5. Step 5: Solve for x
    x = 69,246,419,737.66/282,034.60
  6. Step 6: Final answer
    x = 245,524.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.