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Finding the Fourth Proportional to 412,288.40, 618,448.44 and 146,049.68

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Solution

The fourth proportional to 412,288.40, 618,448.44 and 146,049.68 is: 219,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,288.40 : 618,448.44 = 146,049.68 : x
  2. Step 2: Convert to fraction form
    412,288.40/618,448.44 = 146,049.68/x
  3. Step 3: Cross multiply
    412,288.40x = 618,448.44 × 146,049.68
  4. Step 4: Simplify right side
    412,288.40x = 90,324,196,758.50
  5. Step 5: Solve for x
    x = 90,324,196,758.50/412,288.40
  6. Step 6: Final answer
    x = 219,080.13

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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.