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Finding the Fourth Proportional to 289,863.24, 434,107.50 and 229,698.24

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Solution

The fourth proportional to 289,863.24, 434,107.50 and 229,698.24 is: 344,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,863.24 : 434,107.50 = 229,698.24 : x
  2. Step 2: Convert to fraction form
    289,863.24/434,107.50 = 229,698.24/x
  3. Step 3: Cross multiply
    289,863.24x = 434,107.50 × 229,698.24
  4. Step 4: Simplify right side
    289,863.24x = 99,713,728,720.80
  5. Step 5: Solve for x
    x = 99,713,728,720.80/289,863.24
  6. Step 6: Final answer
    x = 344,002.67

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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.