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Finding the Fourth Proportional to 295,540.50, 407,845.89 and 161,404.50

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Solution

The fourth proportional to 295,540.50, 407,845.89 and 161,404.50 is: 222,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,540.50 : 407,845.89 = 161,404.50 : x
  2. Step 2: Convert to fraction form
    295,540.50/407,845.89 = 161,404.50/x
  3. Step 3: Cross multiply
    295,540.50x = 407,845.89 × 161,404.50
  4. Step 4: Simplify right side
    295,540.50x = 65,828,161,952.51
  5. Step 5: Solve for x
    x = 65,828,161,952.51/295,540.50
  6. Step 6: Final answer
    x = 222,738.21

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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.