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Finding the Fourth Proportional to 301,946.44, 416,301.78 and 188,727.88

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Solution

The fourth proportional to 301,946.44, 416,301.78 and 188,727.88 is: 260,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,946.44 : 416,301.78 = 188,727.88 : x
  2. Step 2: Convert to fraction form
    301,946.44/416,301.78 = 188,727.88/x
  3. Step 3: Cross multiply
    301,946.44x = 416,301.78 × 188,727.88
  4. Step 4: Simplify right side
    301,946.44x = 78,567,752,379.63
  5. Step 5: Solve for x
    x = 78,567,752,379.63/301,946.44
  6. Step 6: Final answer
    x = 260,204.27

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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.