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Finding the Fourth Proportional to 297,715.72, 446,311.14 and 110,596

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Solution

The fourth proportional to 297,715.72, 446,311.14 and 110,596 is: 165,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,715.72 : 446,311.14 = 110,596 : x
  2. Step 2: Convert to fraction form
    297,715.72/446,311.14 = 110,596/x
  3. Step 3: Cross multiply
    297,715.72x = 446,311.14 × 110,596
  4. Step 4: Simplify right side
    297,715.72x = 49,360,226,839.44
  5. Step 5: Solve for x
    x = 49,360,226,839.44/297,715.72
  6. Step 6: Final answer
    x = 165,796.51

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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.