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Finding the Fourth Proportional to 313,038.73, 431,789.16 and 198,197.67

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Solution

The fourth proportional to 313,038.73, 431,789.16 and 198,197.67 is: 273,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,038.73 : 431,789.16 = 198,197.67 : x
  2. Step 2: Convert to fraction form
    313,038.73/431,789.16 = 198,197.67/x
  3. Step 3: Cross multiply
    313,038.73x = 431,789.16 × 198,197.67
  4. Step 4: Simplify right side
    313,038.73x = 85,579,605,443.26
  5. Step 5: Solve for x
    x = 85,579,605,443.26/313,038.73
  6. Step 6: Final answer
    x = 273,383.44

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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.