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Finding the Fourth Proportional to 306,107.89, 456,846.93 and 298,136.27

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Solution

The fourth proportional to 306,107.89, 456,846.93 and 298,136.27 is: 444,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,107.89 : 456,846.93 = 298,136.27 : x
  2. Step 2: Convert to fraction form
    306,107.89/456,846.93 = 298,136.27/x
  3. Step 3: Cross multiply
    306,107.89x = 456,846.93 × 298,136.27
  4. Step 4: Simplify right side
    306,107.89x = 136,202,638,180.47
  5. Step 5: Solve for x
    x = 136,202,638,180.47/306,107.89
  6. Step 6: Final answer
    x = 444,949.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.