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Finding the Fourth Proportional to 471,024, 649,736.40 and 296,316.37

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Solution

The fourth proportional to 471,024, 649,736.40 and 296,316.37 is: 408,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,024 : 649,736.40 = 296,316.37 : x
  2. Step 2: Convert to fraction form
    471,024/649,736.40 = 296,316.37/x
  3. Step 3: Cross multiply
    471,024x = 649,736.40 × 296,316.37
  4. Step 4: Simplify right side
    471,024x = 192,527,531,504.87
  5. Step 5: Solve for x
    x = 192,527,531,504.87/471,024
  6. Step 6: Final answer
    x = 408,742.51

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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.