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Finding the Fourth Proportional to 262,893.80, 394,340.70 and 199,908.20

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Solution

The fourth proportional to 262,893.80, 394,340.70 and 199,908.20 is: 299,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,893.80 : 394,340.70 = 199,908.20 : x
  2. Step 2: Convert to fraction form
    262,893.80/394,340.70 = 199,908.20/x
  3. Step 3: Cross multiply
    262,893.80x = 394,340.70 × 199,908.20
  4. Step 4: Simplify right side
    262,893.80x = 78,831,939,523.74
  5. Step 5: Solve for x
    x = 78,831,939,523.74/262,893.80
  6. Step 6: Final answer
    x = 299,862.30

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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.