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Finding the Fourth Proportional to 463,300.40, 694,205.40 and 263,025.20

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Solution

The fourth proportional to 463,300.40, 694,205.40 and 263,025.20 is: 394,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,300.40 : 694,205.40 = 263,025.20 : x
  2. Step 2: Convert to fraction form
    463,300.40/694,205.40 = 263,025.20/x
  3. Step 3: Cross multiply
    463,300.40x = 694,205.40 × 263,025.20
  4. Step 4: Simplify right side
    463,300.40x = 182,593,514,176.08
  5. Step 5: Solve for x
    x = 182,593,514,176.08/463,300.40
  6. Step 6: Final answer
    x = 394,114.73

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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.