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Finding the Fourth Proportional to 387,745.92, 535,137.60 and 217,980.24

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Solution

The fourth proportional to 387,745.92, 535,137.60 and 217,980.24 is: 300,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,745.92 : 535,137.60 = 217,980.24 : x
  2. Step 2: Convert to fraction form
    387,745.92/535,137.60 = 217,980.24/x
  3. Step 3: Cross multiply
    387,745.92x = 535,137.60 × 217,980.24
  4. Step 4: Simplify right side
    387,745.92x = 116,649,422,481.02
  5. Step 5: Solve for x
    x = 116,649,422,481.02/387,745.92
  6. Step 6: Final answer
    x = 300,839.85

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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.