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Finding the Fourth Proportional to 380,626.40, 570,164.52 and 180,339.68

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Solution

The fourth proportional to 380,626.40, 570,164.52 and 180,339.68 is: 270,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,626.40 : 570,164.52 = 180,339.68 : x
  2. Step 2: Convert to fraction form
    380,626.40/570,164.52 = 180,339.68/x
  3. Step 3: Cross multiply
    380,626.40x = 570,164.52 × 180,339.68
  4. Step 4: Simplify right side
    380,626.40x = 102,823,287,084.15
  5. Step 5: Solve for x
    x = 102,823,287,084.15/380,626.40
  6. Step 6: Final answer
    x = 270,142.29

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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.