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Finding the Fourth Proportional to 416,804.56, 575,190.17 and 225,817.94

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Solution

The fourth proportional to 416,804.56, 575,190.17 and 225,817.94 is: 311,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,804.56 : 575,190.17 = 225,817.94 : x
  2. Step 2: Convert to fraction form
    416,804.56/575,190.17 = 225,817.94/x
  3. Step 3: Cross multiply
    416,804.56x = 575,190.17 × 225,817.94
  4. Step 4: Simplify right side
    416,804.56x = 129,888,259,606.54
  5. Step 5: Solve for x
    x = 129,888,259,606.54/416,804.56
  6. Step 6: Final answer
    x = 311,628.69

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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.