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Finding the Fourth Proportional to 446,714.35, 670,196.59 and 180,661.70

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Solution

The fourth proportional to 446,714.35, 670,196.59 and 180,661.70 is: 271,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,714.35 : 670,196.59 = 180,661.70 : x
  2. Step 2: Convert to fraction form
    446,714.35/670,196.59 = 180,661.70/x
  3. Step 3: Cross multiply
    446,714.35x = 670,196.59 × 180,661.70
  4. Step 4: Simplify right side
    446,714.35x = 121,078,851,932.62
  5. Step 5: Solve for x
    x = 121,078,851,932.62/446,714.35
  6. Step 6: Final answer
    x = 271,043.12

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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.