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Finding the Fourth Proportional to 416,467.60, 574,724.58 and 225,481

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Solution

The fourth proportional to 416,467.60, 574,724.58 and 225,481 is: 311,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,467.60 : 574,724.58 = 225,481 : x
  2. Step 2: Convert to fraction form
    416,467.60/574,724.58 = 225,481/x
  3. Step 3: Cross multiply
    416,467.60x = 574,724.58 × 225,481
  4. Step 4: Simplify right side
    416,467.60x = 129,589,473,022.98
  5. Step 5: Solve for x
    x = 129,589,473,022.98/416,467.60
  6. Step 6: Final answer
    x = 311,163.40

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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.