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Finding the Fourth Proportional to 380,301.14, 571,012.42 and 212,150

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Solution

The fourth proportional to 380,301.14, 571,012.42 and 212,150 is: 318,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,301.14 : 571,012.42 = 212,150 : x
  2. Step 2: Convert to fraction form
    380,301.14/571,012.42 = 212,150/x
  3. Step 3: Cross multiply
    380,301.14x = 571,012.42 × 212,150
  4. Step 4: Simplify right side
    380,301.14x = 121,140,284,903.00
  5. Step 5: Solve for x
    x = 121,140,284,903.00/380,301.14
  6. Step 6: Final answer
    x = 318,537.79

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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.