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Finding the Fourth Proportional to 380,589.15, 570,785.31 and 180,511.46

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Solution

The fourth proportional to 380,589.15, 570,785.31 and 180,511.46 is: 270,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,589.15 : 570,785.31 = 180,511.46 : x
  2. Step 2: Convert to fraction form
    380,589.15/570,785.31 = 180,511.46/x
  3. Step 3: Cross multiply
    380,589.15x = 570,785.31 × 180,511.46
  4. Step 4: Simplify right side
    380,589.15x = 103,033,289,654.65
  5. Step 5: Solve for x
    x = 103,033,289,654.65/380,589.15
  6. Step 6: Final answer
    x = 270,720.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.