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Finding the Fourth Proportional to 416,558.69, 574,851.29 and 225,572.23

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Solution

The fourth proportional to 416,558.69, 574,851.29 and 225,572.23 is: 311,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,558.69 : 574,851.29 = 225,572.23 : x
  2. Step 2: Convert to fraction form
    416,558.69/574,851.29 = 225,572.23/x
  3. Step 3: Cross multiply
    416,558.69x = 574,851.29 × 225,572.23
  4. Step 4: Simplify right side
    416,558.69x = 129,670,487,403.68
  5. Step 5: Solve for x
    x = 129,670,487,403.68/416,558.69
  6. Step 6: Final answer
    x = 311,289.84

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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.