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Finding the Fourth Proportional to 305,222.56, 421,195.44 and 169,262.08

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Solution

The fourth proportional to 305,222.56, 421,195.44 and 169,262.08 is: 233,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,222.56 : 421,195.44 = 169,262.08 : x
  2. Step 2: Convert to fraction form
    305,222.56/421,195.44 = 169,262.08/x
  3. Step 3: Cross multiply
    305,222.56x = 421,195.44 × 169,262.08
  4. Step 4: Simplify right side
    305,222.56x = 71,292,416,260.92
  5. Step 5: Solve for x
    x = 71,292,416,260.92/305,222.56
  6. Step 6: Final answer
    x = 233,575.19

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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.