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Finding the Fourth Proportional to 295,481.48, 407,765.94 and 161,345.48

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Solution

The fourth proportional to 295,481.48, 407,765.94 and 161,345.48 is: 222,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,481.48 : 407,765.94 = 161,345.48 : x
  2. Step 2: Convert to fraction form
    295,481.48/407,765.94 = 161,345.48/x
  3. Step 3: Cross multiply
    295,481.48x = 407,765.94 × 161,345.48
  4. Step 4: Simplify right side
    295,481.48x = 65,791,191,316.95
  5. Step 5: Solve for x
    x = 65,791,191,316.95/295,481.48
  6. Step 6: Final answer
    x = 222,657.58

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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.