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Finding the Fourth Proportional to 299,367.53, 449,249.63 and 164,525.77

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Solution

The fourth proportional to 299,367.53, 449,249.63 and 164,525.77 is: 246,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,367.53 : 449,249.63 = 164,525.77 : x
  2. Step 2: Convert to fraction form
    299,367.53/449,249.63 = 164,525.77/x
  3. Step 3: Cross multiply
    299,367.53x = 449,249.63 × 164,525.77
  4. Step 4: Simplify right side
    299,367.53x = 73,913,138,509.87
  5. Step 5: Solve for x
    x = 73,913,138,509.87/299,367.53
  6. Step 6: Final answer
    x = 246,897.65

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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.