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Finding the Fourth Proportional to 357,257.58, 493,021.04 and 196,127.31

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Solution

The fourth proportional to 357,257.58, 493,021.04 and 196,127.31 is: 270,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257.58 : 493,021.04 = 196,127.31 : x
  2. Step 2: Convert to fraction form
    357,257.58/493,021.04 = 196,127.31/x
  3. Step 3: Cross multiply
    357,257.58x = 493,021.04 × 196,127.31
  4. Step 4: Simplify right side
    357,257.58x = 96,694,890,348.60
  5. Step 5: Solve for x
    x = 96,694,890,348.60/357,257.58
  6. Step 6: Final answer
    x = 270,658.75

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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.