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Finding the Fourth Proportional to 299,745.49, 413,636.46 and 163,784.11

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Solution

The fourth proportional to 299,745.49, 413,636.46 and 163,784.11 is: 226,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,745.49 : 413,636.46 = 163,784.11 : x
  2. Step 2: Convert to fraction form
    299,745.49/413,636.46 = 163,784.11/x
  3. Step 3: Cross multiply
    299,745.49x = 413,636.46 × 163,784.11
  4. Step 4: Simplify right side
    299,745.49x = 67,747,079,464.65
  5. Step 5: Solve for x
    x = 67,747,079,464.65/299,745.49
  6. Step 6: Final answer
    x = 226,015.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.