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Finding the Fourth Proportional to 416,968.26, 575,400.74 and 225,977.56

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Solution

The fourth proportional to 416,968.26, 575,400.74 and 225,977.56 is: 311,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,968.26 : 575,400.74 = 225,977.56 : x
  2. Step 2: Convert to fraction form
    416,968.26/575,400.74 = 225,977.56/x
  3. Step 3: Cross multiply
    416,968.26x = 575,400.74 × 225,977.56
  4. Step 4: Simplify right side
    416,968.26x = 130,027,655,247.39
  5. Step 5: Solve for x
    x = 130,027,655,247.39/416,968.26
  6. Step 6: Final answer
    x = 311,840.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.