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Finding the Fourth Proportional to 289,708.60, 434,562.90 and 205,727.80

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Solution

The fourth proportional to 289,708.60, 434,562.90 and 205,727.80 is: 308,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,708.60 : 434,562.90 = 205,727.80 : x
  2. Step 2: Convert to fraction form
    289,708.60/434,562.90 = 205,727.80/x
  3. Step 3: Cross multiply
    289,708.60x = 434,562.90 × 205,727.80
  4. Step 4: Simplify right side
    289,708.60x = 89,401,669,378.62
  5. Step 5: Solve for x
    x = 89,401,669,378.62/289,708.60
  6. Step 6: Final answer
    x = 308,591.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.