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Finding the Fourth Proportional to 551,714.60, 827,571.90 and 327,765.80

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Solution

The fourth proportional to 551,714.60, 827,571.90 and 327,765.80 is: 491,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,714.60 : 827,571.90 = 327,765.80 : x
  2. Step 2: Convert to fraction form
    551,714.60/827,571.90 = 327,765.80/x
  3. Step 3: Cross multiply
    551,714.60x = 827,571.90 × 327,765.80
  4. Step 4: Simplify right side
    551,714.60x = 271,249,765,861.02
  5. Step 5: Solve for x
    x = 271,249,765,861.02/551,714.60
  6. Step 6: Final answer
    x = 491,648.70

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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.