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Finding the Fourth Proportional to 311,919.23, 468,709.91 and 169,869.94

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Solution

The fourth proportional to 311,919.23, 468,709.91 and 169,869.94 is: 255,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,919.23 : 468,709.91 = 169,869.94 : x
  2. Step 2: Convert to fraction form
    311,919.23/468,709.91 = 169,869.94/x
  3. Step 3: Cross multiply
    311,919.23x = 468,709.91 × 169,869.94
  4. Step 4: Simplify right side
    311,919.23x = 79,619,724,289.11
  5. Step 5: Solve for x
    x = 79,619,724,289.11/311,919.23
  6. Step 6: Final answer
    x = 255,257.50

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Why These Related Problems?

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