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Finding the Fourth Proportional to 305,786.52, 458,684.64 and 116,249.76

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Solution

The fourth proportional to 305,786.52, 458,684.64 and 116,249.76 is: 174,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,786.52 : 458,684.64 = 116,249.76 : x
  2. Step 2: Convert to fraction form
    305,786.52/458,684.64 = 116,249.76/x
  3. Step 3: Cross multiply
    305,786.52x = 458,684.64 × 116,249.76
  4. Step 4: Simplify right side
    305,786.52x = 53,321,979,315.69
  5. Step 5: Solve for x
    x = 53,321,979,315.69/305,786.52
  6. Step 6: Final answer
    x = 174,376.49

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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.