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Finding the Fourth Proportional to 299,534.88, 449,406 and 200,094.24

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Solution

The fourth proportional to 299,534.88, 449,406 and 200,094.24 is: 300,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,534.88 : 449,406 = 200,094.24 : x
  2. Step 2: Convert to fraction form
    299,534.88/449,406 = 200,094.24/x
  3. Step 3: Cross multiply
    299,534.88x = 449,406 × 200,094.24
  4. Step 4: Simplify right side
    299,534.88x = 89,923,552,021.44
  5. Step 5: Solve for x
    x = 89,923,552,021.44/299,534.88
  6. Step 6: Final answer
    x = 300,210.62

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1.5x scale

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.