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Finding the Fourth Proportional to 299,147.40, 448,965.90 and 296,814.60

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Solution

The fourth proportional to 299,147.40, 448,965.90 and 296,814.60 is: 445,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.40 : 448,965.90 = 296,814.60 : x
  2. Step 2: Convert to fraction form
    299,147.40/448,965.90 = 296,814.60/x
  3. Step 3: Cross multiply
    299,147.40x = 448,965.90 × 296,814.60
  4. Step 4: Simplify right side
    299,147.40x = 133,259,634,022.14
  5. Step 5: Solve for x
    x = 133,259,634,022.14/299,147.40
  6. Step 6: Final answer
    x = 445,464.79

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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.