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Finding the Fourth Proportional to 416,205.96, 574,365.75 and 225,219.36

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Solution

The fourth proportional to 416,205.96, 574,365.75 and 225,219.36 is: 310,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,205.96 : 574,365.75 = 225,219.36 : x
  2. Step 2: Convert to fraction form
    416,205.96/574,365.75 = 225,219.36/x
  3. Step 3: Cross multiply
    416,205.96x = 574,365.75 × 225,219.36
  4. Step 4: Simplify right side
    416,205.96x = 129,358,286,620.92
  5. Step 5: Solve for x
    x = 129,358,286,620.92/416,205.96
  6. Step 6: Final answer
    x = 310,803.54

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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.