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Finding the Fourth Proportional to 284,912.65, 427,211.25 and 116,551.27

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Solution

The fourth proportional to 284,912.65, 427,211.25 and 116,551.27 is: 174,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,912.65 : 427,211.25 = 116,551.27 : x
  2. Step 2: Convert to fraction form
    284,912.65/427,211.25 = 116,551.27/x
  3. Step 3: Cross multiply
    284,912.65x = 427,211.25 × 116,551.27
  4. Step 4: Simplify right side
    284,912.65x = 49,792,013,745.79
  5. Step 5: Solve for x
    x = 49,792,013,745.79/284,912.65
  6. Step 6: Final answer
    x = 174,762.38

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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.