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Finding the Fourth Proportional to 295,343.14, 407,573.52 and 161,207.14

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Solution

The fourth proportional to 295,343.14, 407,573.52 and 161,207.14 is: 222,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,343.14 : 407,573.52 = 161,207.14 : x
  2. Step 2: Convert to fraction form
    295,343.14/407,573.52 = 161,207.14/x
  3. Step 3: Cross multiply
    295,343.14x = 407,573.52 × 161,207.14
  4. Step 4: Simplify right side
    295,343.14x = 65,703,761,498.93
  5. Step 5: Solve for x
    x = 65,703,761,498.93/295,343.14
  6. Step 6: Final answer
    x = 222,465.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.