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Finding the Fourth Proportional to 305,016.40, 420,922.68 and 169,059.12

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Solution

The fourth proportional to 305,016.40, 420,922.68 and 169,059.12 is: 233,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,016.40 : 420,922.68 = 169,059.12 : x
  2. Step 2: Convert to fraction form
    305,016.40/420,922.68 = 169,059.12/x
  3. Step 3: Cross multiply
    305,016.40x = 420,922.68 × 169,059.12
  4. Step 4: Simplify right side
    305,016.40x = 71,160,817,868.84
  5. Step 5: Solve for x
    x = 71,160,817,868.84/305,016.40
  6. Step 6: Final answer
    x = 233,301.61

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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.