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Finding the Fourth Proportional to 361,205.20, 541,030.20 and 298,997.20

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Solution

The fourth proportional to 361,205.20, 541,030.20 and 298,997.20 is: 447,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,205.20 : 541,030.20 = 298,997.20 : x
  2. Step 2: Convert to fraction form
    361,205.20/541,030.20 = 298,997.20/x
  3. Step 3: Cross multiply
    361,205.20x = 541,030.20 × 298,997.20
  4. Step 4: Simplify right side
    361,205.20x = 161,766,514,915.44
  5. Step 5: Solve for x
    x = 161,766,514,915.44/361,205.20
  6. Step 6: Final answer
    x = 447,852.12

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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.