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Finding the Fourth Proportional to 232,654.56, 347,405.80 and 184,731.92

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Solution

The fourth proportional to 232,654.56, 347,405.80 and 184,731.92 is: 275,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,654.56 : 347,405.80 = 184,731.92 : x
  2. Step 2: Convert to fraction form
    232,654.56/347,405.80 = 184,731.92/x
  3. Step 3: Cross multiply
    232,654.56x = 347,405.80 × 184,731.92
  4. Step 4: Simplify right side
    232,654.56x = 64,176,940,453.14
  5. Step 5: Solve for x
    x = 64,176,940,453.14/232,654.56
  6. Step 6: Final answer
    x = 275,846.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.