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Finding the Fourth Proportional to 305,309.25, 421,323.93 and 169,343.46

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Solution

The fourth proportional to 305,309.25, 421,323.93 and 169,343.46 is: 233,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,309.25 : 421,323.93 = 169,343.46 : x
  2. Step 2: Convert to fraction form
    305,309.25/421,323.93 = 169,343.46/x
  3. Step 3: Cross multiply
    305,309.25x = 421,323.93 × 169,343.46
  4. Step 4: Simplify right side
    305,309.25x = 71,348,452,087.00
  5. Step 5: Solve for x
    x = 71,348,452,087.00/305,309.25
  6. Step 6: Final answer
    x = 233,692.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.