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Finding the Fourth Proportional to 319,454.93, 479,181.94 and 82,797.84

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Solution

The fourth proportional to 319,454.93, 479,181.94 and 82,797.84 is: 124,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,454.93 : 479,181.94 = 82,797.84 : x
  2. Step 2: Convert to fraction form
    319,454.93/479,181.94 = 82,797.84/x
  3. Step 3: Cross multiply
    319,454.93x = 479,181.94 × 82,797.84
  4. Step 4: Simplify right side
    319,454.93x = 39,675,229,392.02
  5. Step 5: Solve for x
    x = 39,675,229,392.02/319,454.93
  6. Step 6: Final answer
    x = 124,196.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.