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Finding the Fourth Proportional to 295,919.88, 408,372.42 and 159,956.46

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Solution

The fourth proportional to 295,919.88, 408,372.42 and 159,956.46 is: 220,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,919.88 : 408,372.42 = 159,956.46 : x
  2. Step 2: Convert to fraction form
    295,919.88/408,372.42 = 159,956.46/x
  3. Step 3: Cross multiply
    295,919.88x = 408,372.42 × 159,956.46
  4. Step 4: Simplify right side
    295,919.88x = 65,321,806,664.83
  5. Step 5: Solve for x
    x = 65,321,806,664.83/295,919.88
  6. Step 6: Final answer
    x = 220,741.53

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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.