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Finding the Fourth Proportional to 397,455.80, 596,183.70 and 271,484.60

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Solution

The fourth proportional to 397,455.80, 596,183.70 and 271,484.60 is: 407,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,455.80 : 596,183.70 = 271,484.60 : x
  2. Step 2: Convert to fraction form
    397,455.80/596,183.70 = 271,484.60/x
  3. Step 3: Cross multiply
    397,455.80x = 596,183.70 × 271,484.60
  4. Step 4: Simplify right side
    397,455.80x = 161,854,693,321.02
  5. Step 5: Solve for x
    x = 161,854,693,321.02/397,455.80
  6. Step 6: Final answer
    x = 407,226.90

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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.