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Finding the Fourth Proportional to 357,958.96, 493,972.92 and 196,813.84

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Solution

The fourth proportional to 357,958.96, 493,972.92 and 196,813.84 is: 271,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,958.96 : 493,972.92 = 196,813.84 : x
  2. Step 2: Convert to fraction form
    357,958.96/493,972.92 = 196,813.84/x
  3. Step 3: Cross multiply
    357,958.96x = 493,972.92 × 196,813.84
  4. Step 4: Simplify right side
    357,958.96x = 97,220,707,241.21
  5. Step 5: Solve for x
    x = 97,220,707,241.21/357,958.96
  6. Step 6: Final answer
    x = 271,597.36

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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.