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Finding the Fourth Proportional to 357,628.38, 493,535.86 and 196,493.88

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Solution

The fourth proportional to 357,628.38, 493,535.86 and 196,493.88 is: 271,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,628.38 : 493,535.86 = 196,493.88 : x
  2. Step 2: Convert to fraction form
    357,628.38/493,535.86 = 196,493.88/x
  3. Step 3: Cross multiply
    357,628.38x = 493,535.86 × 196,493.88
  4. Step 4: Simplify right side
    357,628.38x = 96,976,776,050.54
  5. Step 5: Solve for x
    x = 96,976,776,050.54/357,628.38
  6. Step 6: Final answer
    x = 271,166.33

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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.