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Finding the Fourth Proportional to 307,690.40, 424,467.15 and 200,221.22

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Solution

The fourth proportional to 307,690.40, 424,467.15 and 200,221.22 is: 276,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,690.40 : 424,467.15 = 200,221.22 : x
  2. Step 2: Convert to fraction form
    307,690.40/424,467.15 = 200,221.22/x
  3. Step 3: Cross multiply
    307,690.40x = 424,467.15 × 200,221.22
  4. Step 4: Simplify right side
    307,690.40x = 84,987,330,622.92
  5. Step 5: Solve for x
    x = 84,987,330,622.92/307,690.40
  6. Step 6: Final answer
    x = 276,210.54

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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.