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Finding the Fourth Proportional to 357,773.14, 493,738.77 and 196,633.90

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Solution

The fourth proportional to 357,773.14, 493,738.77 and 196,633.90 is: 271,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,773.14 : 493,738.77 = 196,633.90 : x
  2. Step 2: Convert to fraction form
    357,773.14/493,738.77 = 196,633.90/x
  3. Step 3: Cross multiply
    357,773.14x = 493,738.77 × 196,633.90
  4. Step 4: Simplify right side
    357,773.14x = 97,085,779,926.30
  5. Step 5: Solve for x
    x = 97,085,779,926.30/357,773.14
  6. Step 6: Final answer
    x = 271,361.29

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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.