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Finding the Fourth Proportional to 275,408.40, 413,112.60 and 205,424.40

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Solution

The fourth proportional to 275,408.40, 413,112.60 and 205,424.40 is: 308,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,408.40 : 413,112.60 = 205,424.40 : x
  2. Step 2: Convert to fraction form
    275,408.40/413,112.60 = 205,424.40/x
  3. Step 3: Cross multiply
    275,408.40x = 413,112.60 × 205,424.40
  4. Step 4: Simplify right side
    275,408.40x = 84,863,407,987.44
  5. Step 5: Solve for x
    x = 84,863,407,987.44/275,408.40
  6. Step 6: Final answer
    x = 308,136.60

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1.5x scale

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.