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Finding the Fourth Proportional to 295,696.36, 408,060.65 and 159,730.28

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Solution

The fourth proportional to 295,696.36, 408,060.65 and 159,730.28 is: 220,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,696.36 : 408,060.65 = 159,730.28 : x
  2. Step 2: Convert to fraction form
    295,696.36/408,060.65 = 159,730.28/x
  3. Step 3: Cross multiply
    295,696.36x = 408,060.65 × 159,730.28
  4. Step 4: Simplify right side
    295,696.36x = 65,179,641,770.73
  5. Step 5: Solve for x
    x = 65,179,641,770.73/295,696.36
  6. Step 6: Final answer
    x = 220,427.61

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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.