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Finding the Fourth Proportional to 313,690.60, 432,992.10 and 200,513.80

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Solution

The fourth proportional to 313,690.60, 432,992.10 and 200,513.80 is: 276,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,690.60 : 432,992.10 = 200,513.80 : x
  2. Step 2: Convert to fraction form
    313,690.60/432,992.10 = 200,513.80/x
  3. Step 3: Cross multiply
    313,690.60x = 432,992.10 × 200,513.80
  4. Step 4: Simplify right side
    313,690.60x = 86,820,891,340.98
  5. Step 5: Solve for x
    x = 86,820,891,340.98/313,690.60
  6. Step 6: Final answer
    x = 276,772.37

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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.