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Finding the Fourth Proportional to 456,896.22, 685,973.24 and 232,408.56

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Solution

The fourth proportional to 456,896.22, 685,973.24 and 232,408.56 is: 348,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,896.22 : 685,973.24 = 232,408.56 : x
  2. Step 2: Convert to fraction form
    456,896.22/685,973.24 = 232,408.56/x
  3. Step 3: Cross multiply
    456,896.22x = 685,973.24 × 232,408.56
  4. Step 4: Simplify right side
    456,896.22x = 159,426,052,906.93
  5. Step 5: Solve for x
    x = 159,426,052,906.93/456,896.22
  6. Step 6: Final answer
    x = 348,932.75

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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.