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Finding the Fourth Proportional to 407,204.44, 610,845.54 and 126,646.36

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Solution

The fourth proportional to 407,204.44, 610,845.54 and 126,646.36 is: 189,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,204.44 : 610,845.54 = 126,646.36 : x
  2. Step 2: Convert to fraction form
    407,204.44/610,845.54 = 126,646.36/x
  3. Step 3: Cross multiply
    407,204.44x = 610,845.54 × 126,646.36
  4. Step 4: Simplify right side
    407,204.44x = 77,361,364,163.23
  5. Step 5: Solve for x
    x = 77,361,364,163.23/407,204.44
  6. Step 6: Final answer
    x = 189,981.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.