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Finding the Fourth Proportional to 470,205.48, 649,082.18 and 317,450.57

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Solution

The fourth proportional to 470,205.48, 649,082.18 and 317,450.57 is: 438,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,205.48 : 649,082.18 = 317,450.57 : x
  2. Step 2: Convert to fraction form
    470,205.48/649,082.18 = 317,450.57/x
  3. Step 3: Cross multiply
    470,205.48x = 649,082.18 × 317,450.57
  4. Step 4: Simplify right side
    470,205.48x = 206,051,503,185.18
  5. Step 5: Solve for x
    x = 206,051,503,185.18/470,205.48
  6. Step 6: Final answer
    x = 438,215.87

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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.