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Finding the Fourth Proportional to 416,796.44, 575,178.30 and 225,815

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Solution

The fourth proportional to 416,796.44, 575,178.30 and 225,815 is: 311,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,796.44 : 575,178.30 = 225,815 : x
  2. Step 2: Convert to fraction form
    416,796.44/575,178.30 = 225,815/x
  3. Step 3: Cross multiply
    416,796.44x = 575,178.30 × 225,815
  4. Step 4: Simplify right side
    416,796.44x = 129,883,887,814.50
  5. Step 5: Solve for x
    x = 129,883,887,814.50/416,796.44
  6. Step 6: Final answer
    x = 311,624.27

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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.