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Finding the Fourth Proportional to 446,714.85, 670,197.34 and 180,662.20

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Solution

The fourth proportional to 446,714.85, 670,197.34 and 180,662.20 is: 271,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,714.85 : 670,197.34 = 180,662.20 : x
  2. Step 2: Convert to fraction form
    446,714.85/670,197.34 = 180,662.20/x
  3. Step 3: Cross multiply
    446,714.85x = 670,197.34 × 180,662.20
  4. Step 4: Simplify right side
    446,714.85x = 121,079,325,878.55
  5. Step 5: Solve for x
    x = 121,079,325,878.55/446,714.85
  6. Step 6: Final answer
    x = 271,043.88

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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.