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Finding the Fourth Proportional to 295,339.14, 407,568 and 161,203.14

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Solution

The fourth proportional to 295,339.14, 407,568 and 161,203.14 is: 222,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,339.14 : 407,568 = 161,203.14 : x
  2. Step 2: Convert to fraction form
    295,339.14/407,568 = 161,203.14/x
  3. Step 3: Cross multiply
    295,339.14x = 407,568 × 161,203.14
  4. Step 4: Simplify right side
    295,339.14x = 65,701,241,363.52
  5. Step 5: Solve for x
    x = 65,701,241,363.52/295,339.14
  6. Step 6: Final answer
    x = 222,460.33

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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.