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Finding the Fourth Proportional to 416,570.46, 574,869 and 225,584.02

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Solution

The fourth proportional to 416,570.46, 574,869 and 225,584.02 is: 311,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570.46 : 574,869 = 225,584.02 : x
  2. Step 2: Convert to fraction form
    416,570.46/574,869 = 225,584.02/x
  3. Step 3: Cross multiply
    416,570.46x = 574,869 × 225,584.02
  4. Step 4: Simplify right side
    416,570.46x = 129,681,259,993.38
  5. Step 5: Solve for x
    x = 129,681,259,993.38/416,570.46
  6. Step 6: Final answer
    x = 311,306.90

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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.