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Finding the Fourth Proportional to 416,723.58, 575,081.32 and 225,736.98

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Solution

The fourth proportional to 416,723.58, 575,081.32 and 225,736.98 is: 311,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,723.58 : 575,081.32 = 225,736.98 : x
  2. Step 2: Convert to fraction form
    416,723.58/575,081.32 = 225,736.98/x
  3. Step 3: Cross multiply
    416,723.58x = 575,081.32 × 225,736.98
  4. Step 4: Simplify right side
    416,723.58x = 129,817,120,431.21
  5. Step 5: Solve for x
    x = 129,817,120,431.21/416,723.58
  6. Step 6: Final answer
    x = 311,518.54

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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.