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Finding the Fourth Proportional to 416,580.40, 574,878.09 and 225,589.42

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Solution

The fourth proportional to 416,580.40, 574,878.09 and 225,589.42 is: 311,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,580.40 : 574,878.09 = 225,589.42 : x
  2. Step 2: Convert to fraction form
    416,580.40/574,878.09 = 225,589.42/x
  3. Step 3: Cross multiply
    416,580.40x = 574,878.09 × 225,589.42
  4. Step 4: Simplify right side
    416,580.40x = 129,686,414,893.81
  5. Step 5: Solve for x
    x = 129,686,414,893.81/416,580.40
  6. Step 6: Final answer
    x = 311,311.85

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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.