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Finding the Fourth Proportional to 311,455.72, 467,209.50 and 187,584.04

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Solution

The fourth proportional to 311,455.72, 467,209.50 and 187,584.04 is: 281,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,455.72 : 467,209.50 = 187,584.04 : x
  2. Step 2: Convert to fraction form
    311,455.72/467,209.50 = 187,584.04/x
  3. Step 3: Cross multiply
    311,455.72x = 467,209.50 × 187,584.04
  4. Step 4: Simplify right side
    311,455.72x = 87,641,045,536.38
  5. Step 5: Solve for x
    x = 87,641,045,536.38/311,455.72
  6. Step 6: Final answer
    x = 281,391.67

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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.