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Finding the Fourth Proportional to 299,910.20, 413,887.22 and 163,953.20

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Solution

The fourth proportional to 299,910.20, 413,887.22 and 163,953.20 is: 226,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,910.20 : 413,887.22 = 163,953.20 : x
  2. Step 2: Convert to fraction form
    299,910.20/413,887.22 = 163,953.20/x
  3. Step 3: Cross multiply
    299,910.20x = 413,887.22 × 163,953.20
  4. Step 4: Simplify right side
    299,910.20x = 67,858,134,158.10
  5. Step 5: Solve for x
    x = 67,858,134,158.10/299,910.20
  6. Step 6: Final answer
    x = 226,261.51

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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.