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Finding the Fourth Proportional to 542,956.44, 814,540.68 and 163,907.88

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Solution

The fourth proportional to 542,956.44, 814,540.68 and 163,907.88 is: 245,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,956.44 : 814,540.68 = 163,907.88 : x
  2. Step 2: Convert to fraction form
    542,956.44/814,540.68 = 163,907.88/x
  3. Step 3: Cross multiply
    542,956.44x = 814,540.68 × 163,907.88
  4. Step 4: Simplify right side
    542,956.44x = 133,509,636,032.56
  5. Step 5: Solve for x
    x = 133,509,636,032.56/542,956.44
  6. Step 6: Final answer
    x = 245,893.83

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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.