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Finding the Fourth Proportional to 299,043.78, 448,226.22 and 262,950.38

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Solution

The fourth proportional to 299,043.78, 448,226.22 and 262,950.38 is: 394,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,043.78 : 448,226.22 = 262,950.38 : x
  2. Step 2: Convert to fraction form
    299,043.78/448,226.22 = 262,950.38/x
  3. Step 3: Cross multiply
    299,043.78x = 448,226.22 × 262,950.38
  4. Step 4: Simplify right side
    299,043.78x = 117,861,252,633.83
  5. Step 5: Solve for x
    x = 117,861,252,633.83/299,043.78
  6. Step 6: Final answer
    x = 394,127.08

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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.