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Finding the Fourth Proportional to 325,772.06, 488,664.57 and 214,164.14

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Solution

The fourth proportional to 325,772.06, 488,664.57 and 214,164.14 is: 321,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,772.06 : 488,664.57 = 214,164.14 : x
  2. Step 2: Convert to fraction form
    325,772.06/488,664.57 = 214,164.14/x
  3. Step 3: Cross multiply
    325,772.06x = 488,664.57 × 214,164.14
  4. Step 4: Simplify right side
    325,772.06x = 104,654,427,382.52
  5. Step 5: Solve for x
    x = 104,654,427,382.52/325,772.06
  6. Step 6: Final answer
    x = 321,250.47

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Why These Related Problems?

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