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Finding the Fourth Proportional to 295,344.60, 407,575.44 and 161,208.60

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Solution

The fourth proportional to 295,344.60, 407,575.44 and 161,208.60 is: 222,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,344.60 : 407,575.44 = 161,208.60 : x
  2. Step 2: Convert to fraction form
    295,344.60/407,575.44 = 161,208.60/x
  3. Step 3: Cross multiply
    295,344.60x = 407,575.44 × 161,208.60
  4. Step 4: Simplify right side
    295,344.60x = 65,704,666,076.78
  5. Step 5: Solve for x
    x = 65,704,666,076.78/295,344.60
  6. Step 6: Final answer
    x = 222,467.81

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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.