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Finding the Fourth Proportional to 365,791.67, 504,812.11 and 204,637.11

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Solution

The fourth proportional to 365,791.67, 504,812.11 and 204,637.11 is: 282,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,791.67 : 504,812.11 = 204,637.11 : x
  2. Step 2: Convert to fraction form
    365,791.67/504,812.11 = 204,637.11/x
  3. Step 3: Cross multiply
    365,791.67x = 504,812.11 × 204,637.11
  4. Step 4: Simplify right side
    365,791.67x = 103,303,291,283.40
  5. Step 5: Solve for x
    x = 103,303,291,283.40/365,791.67
  6. Step 6: Final answer
    x = 282,410.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.