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Finding the Fourth Proportional to 416,552.94, 574,843.36 and 225,566.48

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Solution

The fourth proportional to 416,552.94, 574,843.36 and 225,566.48 is: 311,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,552.94 : 574,843.36 = 225,566.48 : x
  2. Step 2: Convert to fraction form
    416,552.94/574,843.36 = 225,566.48/x
  3. Step 3: Cross multiply
    416,552.94x = 574,843.36 × 225,566.48
  4. Step 4: Simplify right side
    416,552.94x = 129,665,393,266.57
  5. Step 5: Solve for x
    x = 129,665,393,266.57/416,552.94
  6. Step 6: Final answer
    x = 311,281.91

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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.