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Finding the Fourth Proportional to 416,150.04, 574,287 and 225,163.44

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Solution

The fourth proportional to 416,150.04, 574,287 and 225,163.44 is: 310,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,150.04 : 574,287 = 225,163.44 : x
  2. Step 2: Convert to fraction form
    416,150.04/574,287 = 225,163.44/x
  3. Step 3: Cross multiply
    416,150.04x = 574,287 × 225,163.44
  4. Step 4: Simplify right side
    416,150.04x = 129,308,436,467.28
  5. Step 5: Solve for x
    x = 129,308,436,467.28/416,150.04
  6. Step 6: Final answer
    x = 310,725.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.