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Finding the Fourth Proportional to 299,674.91, 449,689.70 and 110,268.28

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Solution

The fourth proportional to 299,674.91, 449,689.70 and 110,268.28 is: 165,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,674.91 : 449,689.70 = 110,268.28 : x
  2. Step 2: Convert to fraction form
    299,674.91/449,689.70 = 110,268.28/x
  3. Step 3: Cross multiply
    299,674.91x = 449,689.70 × 110,268.28
  4. Step 4: Simplify right side
    299,674.91x = 49,586,509,752.72
  5. Step 5: Solve for x
    x = 49,586,509,752.72/299,674.91
  6. Step 6: Final answer
    x = 165,467.67

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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.