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Finding the Fourth Proportional to 382,076.80, 573,727.20 and 303,841.60

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Solution

The fourth proportional to 382,076.80, 573,727.20 and 303,841.60 is: 456,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,076.80 : 573,727.20 = 303,841.60 : x
  2. Step 2: Convert to fraction form
    382,076.80/573,727.20 = 303,841.60/x
  3. Step 3: Cross multiply
    382,076.80x = 573,727.20 × 303,841.60
  4. Step 4: Simplify right side
    382,076.80x = 174,322,190,411.52
  5. Step 5: Solve for x
    x = 174,322,190,411.52/382,076.80
  6. Step 6: Final answer
    x = 456,249.09

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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.