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Finding the Fourth Proportional to 305,654.82, 421,782.48 and 169,678.02

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Solution

The fourth proportional to 305,654.82, 421,782.48 and 169,678.02 is: 234,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,654.82 : 421,782.48 = 169,678.02 : x
  2. Step 2: Convert to fraction form
    305,654.82/421,782.48 = 169,678.02/x
  3. Step 3: Cross multiply
    305,654.82x = 421,782.48 × 169,678.02
  4. Step 4: Simplify right side
    305,654.82x = 71,567,216,077.09
  5. Step 5: Solve for x
    x = 71,567,216,077.09/305,654.82
  6. Step 6: Final answer
    x = 234,143.91

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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.