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Finding the Fourth Proportional to 299,814.94, 449,594.40 and 173,542.36

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Solution

The fourth proportional to 299,814.94, 449,594.40 and 173,542.36 is: 260,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,814.94 : 449,594.40 = 173,542.36 : x
  2. Step 2: Convert to fraction form
    299,814.94/449,594.40 = 173,542.36/x
  3. Step 3: Cross multiply
    299,814.94x = 449,594.40 × 173,542.36
  4. Step 4: Simplify right side
    299,814.94x = 78,023,673,218.78
  5. Step 5: Solve for x
    x = 78,023,673,218.78/299,814.94
  6. Step 6: Final answer
    x = 260,239.44

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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.