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Finding the Fourth Proportional to 298,747.80, 448,121.70 and 275,128.20

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Solution

The fourth proportional to 298,747.80, 448,121.70 and 275,128.20 is: 412,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,747.80 : 448,121.70 = 275,128.20 : x
  2. Step 2: Convert to fraction form
    298,747.80/448,121.70 = 275,128.20/x
  3. Step 3: Cross multiply
    298,747.80x = 448,121.70 × 275,128.20
  4. Step 4: Simplify right side
    298,747.80x = 123,290,916,701.94
  5. Step 5: Solve for x
    x = 123,290,916,701.94/298,747.80
  6. Step 6: Final answer
    x = 412,692.30

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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.