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Finding the Fourth Proportional to 357,924.92, 493,938.09 and 196,790.40

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Solution

The fourth proportional to 357,924.92, 493,938.09 and 196,790.40 is: 271,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,924.92 : 493,938.09 = 196,790.40 : x
  2. Step 2: Convert to fraction form
    357,924.92/493,938.09 = 196,790.40/x
  3. Step 3: Cross multiply
    357,924.92x = 493,938.09 × 196,790.40
  4. Step 4: Simplify right side
    357,924.92x = 97,202,274,306.34
  5. Step 5: Solve for x
    x = 97,202,274,306.34/357,924.92
  6. Step 6: Final answer
    x = 271,571.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.