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Finding the Fourth Proportional to 299,563.56, 413,401.02 and 163,601.52

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Solution

The fourth proportional to 299,563.56, 413,401.02 and 163,601.52 is: 225,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563.56 : 413,401.02 = 163,601.52 : x
  2. Step 2: Convert to fraction form
    299,563.56/413,401.02 = 163,601.52/x
  3. Step 3: Cross multiply
    299,563.56x = 413,401.02 × 163,601.52
  4. Step 4: Simplify right side
    299,563.56x = 67,633,035,241.55
  5. Step 5: Solve for x
    x = 67,633,035,241.55/299,563.56
  6. Step 6: Final answer
    x = 225,771.90

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1.5x scale

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.