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Finding the Fourth Proportional to 305,979.96, 458,866.44 and 116,395.32

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Solution

The fourth proportional to 305,979.96, 458,866.44 and 116,395.32 is: 174,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,979.96 : 458,866.44 = 116,395.32 : x
  2. Step 2: Convert to fraction form
    305,979.96/458,866.44 = 116,395.32/x
  3. Step 3: Cross multiply
    305,979.96x = 458,866.44 × 116,395.32
  4. Step 4: Simplify right side
    305,979.96x = 53,409,906,121.06
  5. Step 5: Solve for x
    x = 53,409,906,121.06/305,979.96
  6. Step 6: Final answer
    x = 174,553.61

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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.