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Finding the Fourth Proportional to 416,403.24, 574,635.81 and 225,416.58

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Solution

The fourth proportional to 416,403.24, 574,635.81 and 225,416.58 is: 311,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,403.24 : 574,635.81 = 225,416.58 : x
  2. Step 2: Convert to fraction form
    416,403.24/574,635.81 = 225,416.58/x
  3. Step 3: Cross multiply
    416,403.24x = 574,635.81 × 225,416.58
  4. Step 4: Simplify right side
    416,403.24x = 129,532,439,035.73
  5. Step 5: Solve for x
    x = 129,532,439,035.73/416,403.24
  6. Step 6: Final answer
    x = 311,074.52

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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.