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Finding the Fourth Proportional to 305,340.26, 421,376.31 and 169,369.77

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Solution

The fourth proportional to 305,340.26, 421,376.31 and 169,369.77 is: 233,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,340.26 : 421,376.31 = 169,369.77 : x
  2. Step 2: Convert to fraction form
    305,340.26/421,376.31 = 169,369.77/x
  3. Step 3: Cross multiply
    305,340.26x = 421,376.31 × 169,369.77
  4. Step 4: Simplify right side
    305,340.26x = 71,368,407,861.30
  5. Step 5: Solve for x
    x = 71,368,407,861.30/305,340.26
  6. Step 6: Final answer
    x = 233,734.03

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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.