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Finding the Fourth Proportional to 305,829.32, 422,044.46 and 171,693.32

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Solution

The fourth proportional to 305,829.32, 422,044.46 and 171,693.32 is: 236,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,829.32 : 422,044.46 = 171,693.32 : x
  2. Step 2: Convert to fraction form
    305,829.32/422,044.46 = 171,693.32/x
  3. Step 3: Cross multiply
    305,829.32x = 422,044.46 × 171,693.32
  4. Step 4: Simplify right side
    305,829.32x = 72,462,214,525.01
  5. Step 5: Solve for x
    x = 72,462,214,525.01/305,829.32
  6. Step 6: Final answer
    x = 236,936.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.