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Finding the Fourth Proportional to 446,714.91, 670,197.45 and 180,662.27

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Solution

The fourth proportional to 446,714.91, 670,197.45 and 180,662.27 is: 271,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,714.91 : 670,197.45 = 180,662.27 : x
  2. Step 2: Convert to fraction form
    446,714.91/670,197.45 = 180,662.27/x
  3. Step 3: Cross multiply
    446,714.91x = 670,197.45 × 180,662.27
  4. Step 4: Simplify right side
    446,714.91x = 121,079,389,314.22
  5. Step 5: Solve for x
    x = 121,079,389,314.22/446,714.91
  6. Step 6: Final answer
    x = 271,043.98

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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.