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Finding the Fourth Proportional to 397,093.85, 595,936.02 and 160,438.58

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Solution

The fourth proportional to 397,093.85, 595,936.02 and 160,438.58 is: 240,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,093.85 : 595,936.02 = 160,438.58 : x
  2. Step 2: Convert to fraction form
    397,093.85/595,936.02 = 160,438.58/x
  3. Step 3: Cross multiply
    397,093.85x = 595,936.02 × 160,438.58
  4. Step 4: Simplify right side
    397,093.85x = 95,611,128,819.65
  5. Step 5: Solve for x
    x = 95,611,128,819.65/397,093.85
  6. Step 6: Final answer
    x = 240,777.16

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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.