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Finding the Fourth Proportional to 357,964.91, 493,993.43 and 196,830.33

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Solution

The fourth proportional to 357,964.91, 493,993.43 and 196,830.33 is: 271,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,964.91 : 493,993.43 = 196,830.33 : x
  2. Step 2: Convert to fraction form
    357,964.91/493,993.43 = 196,830.33/x
  3. Step 3: Cross multiply
    357,964.91x = 493,993.43 × 196,830.33
  4. Step 4: Simplify right side
    357,964.91x = 97,232,888,860.58
  5. Step 5: Solve for x
    x = 97,232,888,860.58/357,964.91
  6. Step 6: Final answer
    x = 271,626.88

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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.