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Finding the Fourth Proportional to 416,231.67, 574,399.69 and 225,245.06

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Solution

The fourth proportional to 416,231.67, 574,399.69 and 225,245.06 is: 310,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,231.67 : 574,399.69 = 225,245.06 : x
  2. Step 2: Convert to fraction form
    416,231.67/574,399.69 = 225,245.06/x
  3. Step 3: Cross multiply
    416,231.67x = 574,399.69 × 225,245.06
  4. Step 4: Simplify right side
    416,231.67x = 129,380,692,638.03
  5. Step 5: Solve for x
    x = 129,380,692,638.03/416,231.67
  6. Step 6: Final answer
    x = 310,838.17

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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.