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Finding the Fourth Proportional to 312,080.20, 468,268.38 and 216,164.90

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Solution

The fourth proportional to 312,080.20, 468,268.38 and 216,164.90 is: 324,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,080.20 : 468,268.38 = 216,164.90 : x
  2. Step 2: Convert to fraction form
    312,080.20/468,268.38 = 216,164.90/x
  3. Step 3: Cross multiply
    312,080.20x = 468,268.38 × 216,164.90
  4. Step 4: Simplify right side
    312,080.20x = 101,223,188,706.53
  5. Step 5: Solve for x
    x = 101,223,188,706.53/312,080.20
  6. Step 6: Final answer
    x = 324,349.93

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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.