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Finding the Fourth Proportional to 397,845.80, 596,768.70 and 161,196.20

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Solution

The fourth proportional to 397,845.80, 596,768.70 and 161,196.20 is: 241,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,845.80 : 596,768.70 = 161,196.20 : x
  2. Step 2: Convert to fraction form
    397,845.80/596,768.70 = 161,196.20/x
  3. Step 3: Cross multiply
    397,845.80x = 596,768.70 × 161,196.20
  4. Step 4: Simplify right side
    397,845.80x = 96,196,846,718.94
  5. Step 5: Solve for x
    x = 96,196,846,718.94/397,845.80
  6. Step 6: Final answer
    x = 241,794.30

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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.