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Finding the Fourth Proportional to 295,855.92, 408,281.28 and 159,889.44

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Solution

The fourth proportional to 295,855.92, 408,281.28 and 159,889.44 is: 220,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,855.92 : 408,281.28 = 159,889.44 : x
  2. Step 2: Convert to fraction form
    295,855.92/408,281.28 = 159,889.44/x
  3. Step 3: Cross multiply
    295,855.92x = 408,281.28 × 159,889.44
  4. Step 4: Simplify right side
    295,855.92x = 65,279,865,221.68
  5. Step 5: Solve for x
    x = 65,279,865,221.68/295,855.92
  6. Step 6: Final answer
    x = 220,647.49

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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.