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Finding the Fourth Proportional to 295,471.22, 407,749.65 and 161,335.22

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Solution

The fourth proportional to 295,471.22, 407,749.65 and 161,335.22 is: 222,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,471.22 : 407,749.65 = 161,335.22 : x
  2. Step 2: Convert to fraction form
    295,471.22/407,749.65 = 161,335.22/x
  3. Step 3: Cross multiply
    295,471.22x = 407,749.65 × 161,335.22
  4. Step 4: Simplify right side
    295,471.22x = 65,784,379,487.67
  5. Step 5: Solve for x
    x = 65,784,379,487.67/295,471.22
  6. Step 6: Final answer
    x = 222,642.26

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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.