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Finding the Fourth Proportional to 357,899.62, 493,910.91 and 196,758.73

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Solution

The fourth proportional to 357,899.62, 493,910.91 and 196,758.73 is: 271,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,899.62 : 493,910.91 = 196,758.73 : x
  2. Step 2: Convert to fraction form
    357,899.62/493,910.91 = 196,758.73/x
  3. Step 3: Cross multiply
    357,899.62x = 493,910.91 × 196,758.73
  4. Step 4: Simplify right side
    357,899.62x = 97,181,283,384.74
  5. Step 5: Solve for x
    x = 97,181,283,384.74/357,899.62
  6. Step 6: Final answer
    x = 271,532.23

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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.