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Finding the Fourth Proportional to 416,622.88, 574,939.92 and 225,636.64

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Solution

The fourth proportional to 416,622.88, 574,939.92 and 225,636.64 is: 311,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,622.88 : 574,939.92 = 225,636.64 : x
  2. Step 2: Convert to fraction form
    416,622.88/574,939.92 = 225,636.64/x
  3. Step 3: Cross multiply
    416,622.88x = 574,939.92 × 225,636.64
  4. Step 4: Simplify right side
    416,622.88x = 129,727,511,750.67
  5. Step 5: Solve for x
    x = 129,727,511,750.67/416,622.88
  6. Step 6: Final answer
    x = 311,378.75

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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.