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Finding the Fourth Proportional to 307,744.08, 424,351.98 and 200,114.52

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Solution

The fourth proportional to 307,744.08, 424,351.98 and 200,114.52 is: 275,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,744.08 : 424,351.98 = 200,114.52 : x
  2. Step 2: Convert to fraction form
    307,744.08/424,351.98 = 200,114.52/x
  3. Step 3: Cross multiply
    307,744.08x = 424,351.98 × 200,114.52
  4. Step 4: Simplify right side
    307,744.08x = 84,918,992,788.75
  5. Step 5: Solve for x
    x = 84,918,992,788.75/307,744.08
  6. Step 6: Final answer
    x = 275,940.30

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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.