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Finding the Fourth Proportional to 302,884.48, 417,981.20 and 182,027.64

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Solution

The fourth proportional to 302,884.48, 417,981.20 and 182,027.64 is: 251,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,884.48 : 417,981.20 = 182,027.64 : x
  2. Step 2: Convert to fraction form
    302,884.48/417,981.20 = 182,027.64/x
  3. Step 3: Cross multiply
    302,884.48x = 417,981.20 × 182,027.64
  4. Step 4: Simplify right side
    302,884.48x = 76,084,131,400.37
  5. Step 5: Solve for x
    x = 76,084,131,400.37/302,884.48
  6. Step 6: Final answer
    x = 251,198.51

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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.