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Finding the Fourth Proportional to 329,014.56, 493,725.96 and 151,546.80

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Solution

The fourth proportional to 329,014.56, 493,725.96 and 151,546.80 is: 227,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,014.56 : 493,725.96 = 151,546.80 : x
  2. Step 2: Convert to fraction form
    329,014.56/493,725.96 = 151,546.80/x
  3. Step 3: Cross multiply
    329,014.56x = 493,725.96 × 151,546.80
  4. Step 4: Simplify right side
    329,014.56x = 74,822,589,314.93
  5. Step 5: Solve for x
    x = 74,822,589,314.93/329,014.56
  6. Step 6: Final answer
    x = 227,414.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.