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Finding the Fourth Proportional to 408,097.80, 612,146.70 and 362,608.20

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Solution

The fourth proportional to 408,097.80, 612,146.70 and 362,608.20 is: 543,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,097.80 : 612,146.70 = 362,608.20 : x
  2. Step 2: Convert to fraction form
    408,097.80/612,146.70 = 362,608.20/x
  3. Step 3: Cross multiply
    408,097.80x = 612,146.70 × 362,608.20
  4. Step 4: Simplify right side
    408,097.80x = 221,969,413,022.94
  5. Step 5: Solve for x
    x = 221,969,413,022.94/408,097.80
  6. Step 6: Final answer
    x = 543,912.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.