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Finding the Fourth Proportional to 299,744.85, 413,635.61 and 163,783.49

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Solution

The fourth proportional to 299,744.85, 413,635.61 and 163,783.49 is: 226,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,744.85 : 413,635.61 = 163,783.49 : x
  2. Step 2: Convert to fraction form
    299,744.85/413,635.61 = 163,783.49/x
  3. Step 3: Cross multiply
    299,744.85x = 413,635.61 × 163,783.49
  4. Step 4: Simplify right side
    299,744.85x = 67,746,682,135.36
  5. Step 5: Solve for x
    x = 67,746,682,135.36/299,744.85
  6. Step 6: Final answer
    x = 226,014.50

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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.