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Finding the Fourth Proportional to 471,654.88, 650,879.82 and 256,794.52

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Solution

The fourth proportional to 471,654.88, 650,879.82 and 256,794.52 is: 354,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,654.88 : 650,879.82 = 256,794.52 : x
  2. Step 2: Convert to fraction form
    471,654.88/650,879.82 = 256,794.52/x
  3. Step 3: Cross multiply
    471,654.88x = 650,879.82 × 256,794.52
  4. Step 4: Simplify right side
    471,654.88x = 167,142,370,954.59
  5. Step 5: Solve for x
    x = 167,142,370,954.59/471,654.88
  6. Step 6: Final answer
    x = 354,374.31

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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.