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Finding the Fourth Proportional to 416,238.63, 574,410.78 and 225,251.97

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Solution

The fourth proportional to 416,238.63, 574,410.78 and 225,251.97 is: 310,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,238.63 : 574,410.78 = 225,251.97 : x
  2. Step 2: Convert to fraction form
    416,238.63/574,410.78 = 225,251.97/x
  3. Step 3: Cross multiply
    416,238.63x = 574,410.78 × 225,251.97
  4. Step 4: Simplify right side
    416,238.63x = 129,387,159,784.24
  5. Step 5: Solve for x
    x = 129,387,159,784.24/416,238.63
  6. Step 6: Final answer
    x = 310,848.51

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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.