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Finding the Fourth Proportional to 297,049.75, 409,954.58 and 162,939.67

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Solution

The fourth proportional to 297,049.75, 409,954.58 and 162,939.67 is: 224,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,049.75 : 409,954.58 = 162,939.67 : x
  2. Step 2: Convert to fraction form
    297,049.75/409,954.58 = 162,939.67/x
  3. Step 3: Cross multiply
    297,049.75x = 409,954.58 × 162,939.67
  4. Step 4: Simplify right side
    297,049.75x = 66,797,863,980.19
  5. Step 5: Solve for x
    x = 66,797,863,980.19/297,049.75
  6. Step 6: Final answer
    x = 224,870.97

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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.