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Finding the Fourth Proportional to 412,896.44, 569,915.88 and 267,696.92

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Solution

The fourth proportional to 412,896.44, 569,915.88 and 267,696.92 is: 369,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,896.44 : 569,915.88 = 267,696.92 : x
  2. Step 2: Convert to fraction form
    412,896.44/569,915.88 = 267,696.92/x
  3. Step 3: Cross multiply
    412,896.44x = 569,915.88 × 267,696.92
  4. Step 4: Simplify right side
    412,896.44x = 152,564,725,735.09
  5. Step 5: Solve for x
    x = 152,564,725,735.09/412,896.44
  6. Step 6: Final answer
    x = 369,498.77

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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.