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Finding the Fourth Proportional to 299,444.40, 448,648.20 and 194,209.20

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Solution

The fourth proportional to 299,444.40, 448,648.20 and 194,209.20 is: 290,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,444.40 : 448,648.20 = 194,209.20 : x
  2. Step 2: Convert to fraction form
    299,444.40/448,648.20 = 194,209.20/x
  3. Step 3: Cross multiply
    299,444.40x = 448,648.20 × 194,209.20
  4. Step 4: Simplify right side
    299,444.40x = 87,131,608,003.44
  5. Step 5: Solve for x
    x = 87,131,608,003.44/299,444.40
  6. Step 6: Final answer
    x = 290,977.58

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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.