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Finding the Fourth Proportional to 382,221.60, 573,447.60 and 204,813.60

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Solution

The fourth proportional to 382,221.60, 573,447.60 and 204,813.60 is: 307,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,221.60 : 573,447.60 = 204,813.60 : x
  2. Step 2: Convert to fraction form
    382,221.60/573,447.60 = 204,813.60/x
  3. Step 3: Cross multiply
    382,221.60x = 573,447.60 × 204,813.60
  4. Step 4: Simplify right side
    382,221.60x = 117,449,867,367.36
  5. Step 5: Solve for x
    x = 117,449,867,367.36/382,221.60
  6. Step 6: Final answer
    x = 307,282.13

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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.