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Finding the Fourth Proportional to 420,915.60, 580,863.38 and 227,323.36

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Solution

The fourth proportional to 420,915.60, 580,863.38 and 227,323.36 is: 313,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,915.60 : 580,863.38 = 227,323.36 : x
  2. Step 2: Convert to fraction form
    420,915.60/580,863.38 = 227,323.36/x
  3. Step 3: Cross multiply
    420,915.60x = 580,863.38 × 227,323.36
  4. Step 4: Simplify right side
    420,915.60x = 132,043,813,453.66
  5. Step 5: Solve for x
    x = 132,043,813,453.66/420,915.60
  6. Step 6: Final answer
    x = 313,706.15

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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.