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Finding the Fourth Proportional to 298,155.21, 447,236.46 and 165,294.96

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Solution

The fourth proportional to 298,155.21, 447,236.46 and 165,294.96 is: 247,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,155.21 : 447,236.46 = 165,294.96 : x
  2. Step 2: Convert to fraction form
    298,155.21/447,236.46 = 165,294.96/x
  3. Step 3: Cross multiply
    298,155.21x = 447,236.46 × 165,294.96
  4. Step 4: Simplify right side
    298,155.21x = 73,925,932,766.24
  5. Step 5: Solve for x
    x = 73,925,932,766.24/298,155.21
  6. Step 6: Final answer
    x = 247,944.46

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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.