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Finding the Fourth Proportional to 299,986.92, 449,980.41 and 207,083.16

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Solution

The fourth proportional to 299,986.92, 449,980.41 and 207,083.16 is: 310,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,986.92 : 449,980.41 = 207,083.16 : x
  2. Step 2: Convert to fraction form
    299,986.92/449,980.41 = 207,083.16/x
  3. Step 3: Cross multiply
    299,986.92x = 449,980.41 × 207,083.16
  4. Step 4: Simplify right side
    299,986.92x = 93,183,365,240.90
  5. Step 5: Solve for x
    x = 93,183,365,240.90/299,986.92
  6. Step 6: Final answer
    x = 310,624.76

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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.