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Finding the Fourth Proportional to 686,183.57, 946,823.08 and 431,354.33

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Solution

The fourth proportional to 686,183.57, 946,823.08 and 431,354.33 is: 595,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,183.57 : 946,823.08 = 431,354.33 : x
  2. Step 2: Convert to fraction form
    686,183.57/946,823.08 = 431,354.33/x
  3. Step 3: Cross multiply
    686,183.57x = 946,823.08 × 431,354.33
  4. Step 4: Simplify right side
    686,183.57x = 408,416,235,301.94
  5. Step 5: Solve for x
    x = 408,416,235,301.94/686,183.57
  6. Step 6: Final answer
    x = 595,199.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.