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Finding the Fourth Proportional to 382,224.60, 573,452.10 and 204,816.60

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Solution

The fourth proportional to 382,224.60, 573,452.10 and 204,816.60 is: 307,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,224.60 : 573,452.10 = 204,816.60 : x
  2. Step 2: Convert to fraction form
    382,224.60/573,452.10 = 204,816.60/x
  3. Step 3: Cross multiply
    382,224.60x = 573,452.10 × 204,816.60
  4. Step 4: Simplify right side
    382,224.60x = 117,452,509,384.86
  5. Step 5: Solve for x
    x = 117,452,509,384.86/382,224.60
  6. Step 6: Final answer
    x = 307,286.63

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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.