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Finding the Fourth Proportional to 367,628.83, 507,375.37 and 206,483.88

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Solution

The fourth proportional to 367,628.83, 507,375.37 and 206,483.88 is: 284,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,628.83 : 507,375.37 = 206,483.88 : x
  2. Step 2: Convert to fraction form
    367,628.83/507,375.37 = 206,483.88/x
  3. Step 3: Cross multiply
    367,628.83x = 507,375.37 × 206,483.88
  4. Step 4: Simplify right side
    367,628.83x = 104,764,835,014.04
  5. Step 5: Solve for x
    x = 104,764,835,014.04/367,628.83
  6. Step 6: Final answer
    x = 284,974.48

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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.