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Finding the Fourth Proportional to 299,683.20, 449,524.80 and 262,819.20

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Solution

The fourth proportional to 299,683.20, 449,524.80 and 262,819.20 is: 394,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,683.20 : 449,524.80 = 262,819.20 : x
  2. Step 2: Convert to fraction form
    299,683.20/449,524.80 = 262,819.20/x
  3. Step 3: Cross multiply
    299,683.20x = 449,524.80 × 262,819.20
  4. Step 4: Simplify right side
    299,683.20x = 118,143,748,316.16
  5. Step 5: Solve for x
    x = 118,143,748,316.16/299,683.20
  6. Step 6: Final answer
    x = 394,228.80

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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.