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Finding the Fourth Proportional to 371,745.88, 513,013.98 and 201,982.84

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Solution

The fourth proportional to 371,745.88, 513,013.98 and 201,982.84 is: 278,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,745.88 : 513,013.98 = 201,982.84 : x
  2. Step 2: Convert to fraction form
    371,745.88/513,013.98 = 201,982.84/x
  3. Step 3: Cross multiply
    371,745.88x = 513,013.98 × 201,982.84
  4. Step 4: Simplify right side
    371,745.88x = 103,620,020,640.10
  5. Step 5: Solve for x
    x = 103,620,020,640.10/371,745.88
  6. Step 6: Final answer
    x = 278,738.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.