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Finding the Fourth Proportional to 357,998.44, 494,045.86 and 196,843.24

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Solution

The fourth proportional to 357,998.44, 494,045.86 and 196,843.24 is: 271,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,998.44 : 494,045.86 = 196,843.24 : x
  2. Step 2: Convert to fraction form
    357,998.44/494,045.86 = 196,843.24/x
  3. Step 3: Cross multiply
    357,998.44x = 494,045.86 × 196,843.24
  4. Step 4: Simplify right side
    357,998.44x = 97,249,587,790.99
  5. Step 5: Solve for x
    x = 97,249,587,790.99/357,998.44
  6. Step 6: Final answer
    x = 271,648.08

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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.