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Finding the Fourth Proportional to 397,570.60, 596,183.10 and 117,029.80

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Solution

The fourth proportional to 397,570.60, 596,183.10 and 117,029.80 is: 175,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,570.60 : 596,183.10 = 117,029.80 : x
  2. Step 2: Convert to fraction form
    397,570.60/596,183.10 = 117,029.80/x
  3. Step 3: Cross multiply
    397,570.60x = 596,183.10 × 117,029.80
  4. Step 4: Simplify right side
    397,570.60x = 69,771,188,956.38
  5. Step 5: Solve for x
    x = 69,771,188,956.38/397,570.60
  6. Step 6: Final answer
    x = 175,493.83

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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.