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Finding the Fourth Proportional to 357,354.35, 493,149.96 and 196,219.83

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Solution

The fourth proportional to 357,354.35, 493,149.96 and 196,219.83 is: 270,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,354.35 : 493,149.96 = 196,219.83 : x
  2. Step 2: Convert to fraction form
    357,354.35/493,149.96 = 196,219.83/x
  3. Step 3: Cross multiply
    357,354.35x = 493,149.96 × 196,219.83
  4. Step 4: Simplify right side
    357,354.35x = 96,765,800,334.61
  5. Step 5: Solve for x
    x = 96,765,800,334.61/357,354.35
  6. Step 6: Final answer
    x = 270,783.89

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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.