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Finding the Fourth Proportional to 299,445.20, 413,227.68 and 163,473.88

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Solution

The fourth proportional to 299,445.20, 413,227.68 and 163,473.88 is: 225,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,445.20 : 413,227.68 = 163,473.88 : x
  2. Step 2: Convert to fraction form
    299,445.20/413,227.68 = 163,473.88/x
  3. Step 3: Cross multiply
    299,445.20x = 413,227.68 × 163,473.88
  4. Step 4: Simplify right side
    299,445.20x = 67,551,932,173.00
  5. Step 5: Solve for x
    x = 67,551,932,173.00/299,445.20
  6. Step 6: Final answer
    x = 225,590.30

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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.