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Finding the Fourth Proportional to 406,608.42, 609,866.49 and 107,112.42

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Solution

The fourth proportional to 406,608.42, 609,866.49 and 107,112.42 is: 160,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,608.42 : 609,866.49 = 107,112.42 : x
  2. Step 2: Convert to fraction form
    406,608.42/609,866.49 = 107,112.42/x
  3. Step 3: Cross multiply
    406,608.42x = 609,866.49 × 107,112.42
  4. Step 4: Simplify right side
    406,608.42x = 65,324,275,620.81
  5. Step 5: Solve for x
    x = 65,324,275,620.81/406,608.42
  6. Step 6: Final answer
    x = 160,656.48

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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.