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Finding the Fourth Proportional to 416,520.98, 574,803.06 and 225,538.48

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Solution

The fourth proportional to 416,520.98, 574,803.06 and 225,538.48 is: 311,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,520.98 : 574,803.06 = 225,538.48 : x
  2. Step 2: Convert to fraction form
    416,520.98/574,803.06 = 225,538.48/x
  3. Step 3: Cross multiply
    416,520.98x = 574,803.06 × 225,538.48
  4. Step 4: Simplify right side
    416,520.98x = 129,640,205,725.54
  5. Step 5: Solve for x
    x = 129,640,205,725.54/416,520.98
  6. Step 6: Final answer
    x = 311,245.32

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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.