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Finding the Fourth Proportional to 295,429.56, 407,691.18 and 161,292.60

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Solution

The fourth proportional to 295,429.56, 407,691.18 and 161,292.60 is: 222,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,429.56 : 407,691.18 = 161,292.60 : x
  2. Step 2: Convert to fraction form
    295,429.56/407,691.18 = 161,292.60/x
  3. Step 3: Cross multiply
    295,429.56x = 407,691.18 × 161,292.60
  4. Step 4: Simplify right side
    295,429.56x = 65,757,570,419.27
  5. Step 5: Solve for x
    x = 65,757,570,419.27/295,429.56
  6. Step 6: Final answer
    x = 222,582.91

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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.