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Finding the Fourth Proportional to 412,097.46, 618,147.84 and 145,858.02

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Solution

The fourth proportional to 412,097.46, 618,147.84 and 145,858.02 is: 218,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,097.46 : 618,147.84 = 145,858.02 : x
  2. Step 2: Convert to fraction form
    412,097.46/618,147.84 = 145,858.02/x
  3. Step 3: Cross multiply
    412,097.46x = 618,147.84 × 145,858.02
  4. Step 4: Simplify right side
    412,097.46x = 90,161,820,009.68
  5. Step 5: Solve for x
    x = 90,161,820,009.68/412,097.46
  6. Step 6: Final answer
    x = 218,787.61

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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.