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Finding the Fourth Proportional to 299,799.20, 413,715.84 and 163,827.20

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Solution

The fourth proportional to 299,799.20, 413,715.84 and 163,827.20 is: 226,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,799.20 : 413,715.84 = 163,827.20 : x
  2. Step 2: Convert to fraction form
    299,799.20/413,715.84 = 163,827.20/x
  3. Step 3: Cross multiply
    299,799.20x = 413,715.84 × 163,827.20
  4. Step 4: Simplify right side
    299,799.20x = 67,777,907,662.85
  5. Step 5: Solve for x
    x = 67,777,907,662.85/299,799.20
  6. Step 6: Final answer
    x = 226,077.68

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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.