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Finding the Fourth Proportional to 331,067.97, 456,842.16 and 185,840.51

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Solution

The fourth proportional to 331,067.97, 456,842.16 and 185,840.51 is: 256,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,067.97 : 456,842.16 = 185,840.51 : x
  2. Step 2: Convert to fraction form
    331,067.97/456,842.16 = 185,840.51/x
  3. Step 3: Cross multiply
    331,067.97x = 456,842.16 × 185,840.51
  4. Step 4: Simplify right side
    331,067.97x = 84,899,777,719.69
  5. Step 5: Solve for x
    x = 84,899,777,719.69/331,067.97
  6. Step 6: Final answer
    x = 256,442.14

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1.5x scale

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.