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Finding the Fourth Proportional to 416,245.72, 574,420.88 and 225,259.12

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Solution

The fourth proportional to 416,245.72, 574,420.88 and 225,259.12 is: 310,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.72 : 574,420.88 = 225,259.12 : x
  2. Step 2: Convert to fraction form
    416,245.72/574,420.88 = 225,259.12/x
  3. Step 3: Cross multiply
    416,245.72x = 574,420.88 × 225,259.12
  4. Step 4: Simplify right side
    416,245.72x = 129,393,541,938.43
  5. Step 5: Solve for x
    x = 129,393,541,938.43/416,245.72
  6. Step 6: Final answer
    x = 310,858.55

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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.