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Finding the Fourth Proportional to 382,090.30, 573,135.45 and 204,943.30

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Solution

The fourth proportional to 382,090.30, 573,135.45 and 204,943.30 is: 307,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,090.30 : 573,135.45 = 204,943.30 : x
  2. Step 2: Convert to fraction form
    382,090.30/573,135.45 = 204,943.30/x
  3. Step 3: Cross multiply
    382,090.30x = 573,135.45 × 204,943.30
  4. Step 4: Simplify right side
    382,090.30x = 117,460,270,469.99
  5. Step 5: Solve for x
    x = 117,460,270,469.99/382,090.30
  6. Step 6: Final answer
    x = 307,414.95

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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.