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Finding the Fourth Proportional to 411,523.08, 617,358.33 and 145,438.08

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Solution

The fourth proportional to 411,523.08, 617,358.33 and 145,438.08 is: 218,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,523.08 : 617,358.33 = 145,438.08 : x
  2. Step 2: Convert to fraction form
    411,523.08/617,358.33 = 145,438.08/x
  3. Step 3: Cross multiply
    411,523.08x = 617,358.33 × 145,438.08
  4. Step 4: Simplify right side
    411,523.08x = 89,787,410,187.21
  5. Step 5: Solve for x
    x = 89,787,410,187.21/411,523.08
  6. Step 6: Final answer
    x = 218,183.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.