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Finding the Fourth Proportional to 470,289, 649,184.82 and 327,132.12

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Solution

The fourth proportional to 470,289, 649,184.82 and 327,132.12 is: 451,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,289 : 649,184.82 = 327,132.12 : x
  2. Step 2: Convert to fraction form
    470,289/649,184.82 = 327,132.12/x
  3. Step 3: Cross multiply
    470,289x = 649,184.82 × 327,132.12
  4. Step 4: Simplify right side
    470,289x = 212,369,206,438.42
  5. Step 5: Solve for x
    x = 212,369,206,438.42/470,289
  6. Step 6: Final answer
    x = 451,571.71

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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.