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Finding the Fourth Proportional to 416,453.88, 574,705.56 and 225,467.24

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Solution

The fourth proportional to 416,453.88, 574,705.56 and 225,467.24 is: 311,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,453.88 : 574,705.56 = 225,467.24 : x
  2. Step 2: Convert to fraction form
    416,453.88/574,705.56 = 225,467.24/x
  3. Step 3: Cross multiply
    416,453.88x = 574,705.56 × 225,467.24
  4. Step 4: Simplify right side
    416,453.88x = 129,577,276,425.85
  5. Step 5: Solve for x
    x = 129,577,276,425.85/416,453.88
  6. Step 6: Final answer
    x = 311,144.36

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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.