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Finding the Fourth Proportional to 289,022.40, 433,235.62 and 120,640.70

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Solution

The fourth proportional to 289,022.40, 433,235.62 and 120,640.70 is: 180,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,022.40 : 433,235.62 = 120,640.70 : x
  2. Step 2: Convert to fraction form
    289,022.40/433,235.62 = 120,640.70/x
  3. Step 3: Cross multiply
    289,022.40x = 433,235.62 × 120,640.70
  4. Step 4: Simplify right side
    289,022.40x = 52,265,848,461.73
  5. Step 5: Solve for x
    x = 52,265,848,461.73/289,022.40
  6. Step 6: Final answer
    x = 180,836.67

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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.