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Finding the Fourth Proportional to 414,077.68, 571,447.74 and 252,906.64

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Solution

The fourth proportional to 414,077.68, 571,447.74 and 252,906.64 is: 349,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,077.68 : 571,447.74 = 252,906.64 : x
  2. Step 2: Convert to fraction form
    414,077.68/571,447.74 = 252,906.64/x
  3. Step 3: Cross multiply
    414,077.68x = 571,447.74 × 252,906.64
  4. Step 4: Simplify right side
    414,077.68x = 144,522,927,858.99
  5. Step 5: Solve for x
    x = 144,522,927,858.99/414,077.68
  6. Step 6: Final answer
    x = 349,023.71

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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.