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Finding the Fourth Proportional to 411,057.12, 616,576.32 and 189,441.12

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Solution

The fourth proportional to 411,057.12, 616,576.32 and 189,441.12 is: 284,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,057.12 : 616,576.32 = 189,441.12 : x
  2. Step 2: Convert to fraction form
    411,057.12/616,576.32 = 189,441.12/x
  3. Step 3: Cross multiply
    411,057.12x = 616,576.32 × 189,441.12
  4. Step 4: Simplify right side
    411,057.12x = 116,804,908,626.28
  5. Step 5: Solve for x
    x = 116,804,908,626.28/411,057.12
  6. Step 6: Final answer
    x = 284,157.37

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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.