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Finding the Fourth Proportional to 491,182.92, 677,584.41 and 287,100.52

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Solution

The fourth proportional to 491,182.92, 677,584.41 and 287,100.52 is: 396,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,182.92 : 677,584.41 = 287,100.52 : x
  2. Step 2: Convert to fraction form
    491,182.92/677,584.41 = 287,100.52/x
  3. Step 3: Cross multiply
    491,182.92x = 677,584.41 × 287,100.52
  4. Step 4: Simplify right side
    491,182.92x = 194,534,833,684.31
  5. Step 5: Solve for x
    x = 194,534,833,684.31/491,182.92
  6. Step 6: Final answer
    x = 396,053.74

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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.