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Finding the Fourth Proportional to 305,689.98, 421,865.36 and 169,723.96

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Solution

The fourth proportional to 305,689.98, 421,865.36 and 169,723.96 is: 234,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,689.98 : 421,865.36 = 169,723.96 : x
  2. Step 2: Convert to fraction form
    305,689.98/421,865.36 = 169,723.96/x
  3. Step 3: Cross multiply
    305,689.98x = 421,865.36 × 169,723.96
  4. Step 4: Simplify right side
    305,689.98x = 71,600,659,173.90
  5. Step 5: Solve for x
    x = 71,600,659,173.90/305,689.98
  6. Step 6: Final answer
    x = 234,226.38

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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.