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Finding the Fourth Proportional to 299,096.64, 448,855.38 and 270,510.75

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Solution

The fourth proportional to 299,096.64, 448,855.38 and 270,510.75 is: 405,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,096.64 : 448,855.38 = 270,510.75 : x
  2. Step 2: Convert to fraction form
    299,096.64/448,855.38 = 270,510.75/x
  3. Step 3: Cross multiply
    299,096.64x = 448,855.38 × 270,510.75
  4. Step 4: Simplify right side
    299,096.64x = 121,420,205,485.34
  5. Step 5: Solve for x
    x = 121,420,205,485.34/299,096.64
  6. Step 6: Final answer
    x = 405,956.43

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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.