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Finding the Fourth Proportional to 447,019.37, 666,317.90 and 411,147.17

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Solution

The fourth proportional to 447,019.37, 666,317.90 and 411,147.17 is: 612,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,019.37 : 666,317.90 = 411,147.17 : x
  2. Step 2: Convert to fraction form
    447,019.37/666,317.90 = 411,147.17/x
  3. Step 3: Cross multiply
    447,019.37x = 666,317.90 × 411,147.17
  4. Step 4: Simplify right side
    447,019.37x = 273,954,718,905.34
  5. Step 5: Solve for x
    x = 273,954,718,905.34/447,019.37
  6. Step 6: Final answer
    x = 612,847.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.