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Finding the Fourth Proportional to 412,668.56, 618,977.36 and 146,394

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Solution

The fourth proportional to 412,668.56, 618,977.36 and 146,394 is: 219,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,668.56 : 618,977.36 = 146,394 : x
  2. Step 2: Convert to fraction form
    412,668.56/618,977.36 = 146,394/x
  3. Step 3: Cross multiply
    412,668.56x = 618,977.36 × 146,394
  4. Step 4: Simplify right side
    412,668.56x = 90,614,571,639.84
  5. Step 5: Solve for x
    x = 90,614,571,639.84/412,668.56
  6. Step 6: Final answer
    x = 219,581.96

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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.