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Finding the Fourth Proportional to 234,427.56, 323,939.16 and 170,654.64

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Solution

The fourth proportional to 234,427.56, 323,939.16 and 170,654.64 is: 235,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,427.56 : 323,939.16 = 170,654.64 : x
  2. Step 2: Convert to fraction form
    234,427.56/323,939.16 = 170,654.64/x
  3. Step 3: Cross multiply
    234,427.56x = 323,939.16 × 170,654.64
  4. Step 4: Simplify right side
    234,427.56x = 55,281,720,731.70
  5. Step 5: Solve for x
    x = 55,281,720,731.70/234,427.56
  6. Step 6: Final answer
    x = 235,815.79

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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.