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Finding the Fourth Proportional to 598,751.97, 898,271.46 and 199,396.20

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Solution

The fourth proportional to 598,751.97, 898,271.46 and 199,396.20 is: 299,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,751.97 : 898,271.46 = 199,396.20 : x
  2. Step 2: Convert to fraction form
    598,751.97/898,271.46 = 199,396.20/x
  3. Step 3: Cross multiply
    598,751.97x = 898,271.46 × 199,396.20
  4. Step 4: Simplify right side
    598,751.97x = 179,111,915,692.45
  5. Step 5: Solve for x
    x = 179,111,915,692.45/598,751.97
  6. Step 6: Final answer
    x = 299,142.09

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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.