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Finding the Fourth Proportional to 299,420.40, 448,905.96 and 181,067.52

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Solution

The fourth proportional to 299,420.40, 448,905.96 and 181,067.52 is: 271,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420.40 : 448,905.96 = 181,067.52 : x
  2. Step 2: Convert to fraction form
    299,420.40/448,905.96 = 181,067.52/x
  3. Step 3: Cross multiply
    299,420.40x = 448,905.96 × 181,067.52
  4. Step 4: Simplify right side
    299,420.40x = 81,282,288,890.42
  5. Step 5: Solve for x
    x = 81,282,288,890.42/299,420.40
  6. Step 6: Final answer
    x = 271,465.43

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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.