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Finding the Fourth Proportional to 299,597.43, 413,447.58 and 163,635.30

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Solution

The fourth proportional to 299,597.43, 413,447.58 and 163,635.30 is: 225,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,597.43 : 413,447.58 = 163,635.30 : x
  2. Step 2: Convert to fraction form
    299,597.43/413,447.58 = 163,635.30/x
  3. Step 3: Cross multiply
    299,597.43x = 413,447.58 × 163,635.30
  4. Step 4: Simplify right side
    299,597.43x = 67,654,618,787.57
  5. Step 5: Solve for x
    x = 67,654,618,787.57/299,597.43
  6. Step 6: Final answer
    x = 225,818.42

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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.