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Finding the Fourth Proportional to 295,933.42, 408,388.17 and 159,967

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Solution

The fourth proportional to 295,933.42, 408,388.17 and 159,967 is: 220,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,933.42 : 408,388.17 = 159,967 : x
  2. Step 2: Convert to fraction form
    295,933.42/408,388.17 = 159,967/x
  3. Step 3: Cross multiply
    295,933.42x = 408,388.17 × 159,967
  4. Step 4: Simplify right side
    295,933.42x = 65,328,630,390.39
  5. Step 5: Solve for x
    x = 65,328,630,390.39/295,933.42
  6. Step 6: Final answer
    x = 220,754.49

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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.