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Finding the Fourth Proportional to 298,171.00, 411,645.66 and 196,491.90

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Solution

The fourth proportional to 298,171.00, 411,645.66 and 196,491.90 is: 271,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,171.00 : 411,645.66 = 196,491.90 : x
  2. Step 2: Convert to fraction form
    298,171.00/411,645.66 = 196,491.90/x
  3. Step 3: Cross multiply
    298,171.00x = 411,645.66 × 196,491.90
  4. Step 4: Simplify right side
    298,171.00x = 80,885,037,860.15
  5. Step 5: Solve for x
    x = 80,885,037,860.15/298,171.00
  6. Step 6: Final answer
    x = 271,270.64

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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.