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Finding the Fourth Proportional to 382,449.60, 573,893.10 and 264,205.80

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Solution

The fourth proportional to 382,449.60, 573,893.10 and 264,205.80 is: 396,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,449.60 : 573,893.10 = 264,205.80 : x
  2. Step 2: Convert to fraction form
    382,449.60/573,893.10 = 264,205.80/x
  3. Step 3: Cross multiply
    382,449.60x = 573,893.10 × 264,205.80
  4. Step 4: Simplify right side
    382,449.60x = 151,625,885,599.98
  5. Step 5: Solve for x
    x = 151,625,885,599.98/382,449.60
  6. Step 6: Final answer
    x = 396,459.78

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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.