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Finding the Fourth Proportional to 345,198.40, 476,324.22 and 201,931.36

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Solution

The fourth proportional to 345,198.40, 476,324.22 and 201,931.36 is: 278,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,198.40 : 476,324.22 = 201,931.36 : x
  2. Step 2: Convert to fraction form
    345,198.40/476,324.22 = 201,931.36/x
  3. Step 3: Cross multiply
    345,198.40x = 476,324.22 × 201,931.36
  4. Step 4: Simplify right side
    345,198.40x = 96,184,797,545.54
  5. Step 5: Solve for x
    x = 96,184,797,545.54/345,198.40
  6. Step 6: Final answer
    x = 278,636.28

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