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Finding the Fourth Proportional to 463,142.80, 694,714.20 and 163,961.20

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Solution

The fourth proportional to 463,142.80, 694,714.20 and 163,961.20 is: 245,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,142.80 : 694,714.20 = 163,961.20 : x
  2. Step 2: Convert to fraction form
    463,142.80/694,714.20 = 163,961.20/x
  3. Step 3: Cross multiply
    463,142.80x = 694,714.20 × 163,961.20
  4. Step 4: Simplify right side
    463,142.80x = 113,906,173,889.04
  5. Step 5: Solve for x
    x = 113,906,173,889.04/463,142.80
  6. Step 6: Final answer
    x = 245,941.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.