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Finding the Fourth Proportional to 289,942.70, 434,914.05 and 289,942.70

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Solution

The fourth proportional to 289,942.70, 434,914.05 and 289,942.70 is: 434,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,942.70 : 434,914.05 = 289,942.70 : x
  2. Step 2: Convert to fraction form
    289,942.70/434,914.05 = 289,942.70/x
  3. Step 3: Cross multiply
    289,942.70x = 434,914.05 × 289,942.70
  4. Step 4: Simplify right side
    289,942.70x = 126,100,153,924.94
  5. Step 5: Solve for x
    x = 126,100,153,924.94/289,942.70
  6. Step 6: Final answer
    x = 434,914.05

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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.