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Finding the Fourth Proportional to 367,805.52, 507,584.80 and 206,657.44

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Solution

The fourth proportional to 367,805.52, 507,584.80 and 206,657.44 is: 285,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,805.52 : 507,584.80 = 206,657.44 : x
  2. Step 2: Convert to fraction form
    367,805.52/507,584.80 = 206,657.44/x
  3. Step 3: Cross multiply
    367,805.52x = 507,584.80 × 206,657.44
  4. Step 4: Simplify right side
    367,805.52x = 104,896,175,350.91
  5. Step 5: Solve for x
    x = 104,896,175,350.91/367,805.52
  6. Step 6: Final answer
    x = 285,194.67

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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.