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Finding the Fourth Proportional to 422,896.20, 634,344.30 and 416,675.40

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Solution

The fourth proportional to 422,896.20, 634,344.30 and 416,675.40 is: 625,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,896.20 : 634,344.30 = 416,675.40 : x
  2. Step 2: Convert to fraction form
    422,896.20/634,344.30 = 416,675.40/x
  3. Step 3: Cross multiply
    422,896.20x = 634,344.30 × 416,675.40
  4. Step 4: Simplify right side
    422,896.20x = 264,315,664,940.22
  5. Step 5: Solve for x
    x = 264,315,664,940.22/422,896.20
  6. Step 6: Final answer
    x = 625,013.10

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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.