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Finding the Fourth Proportional to 357,843.83, 493,818.95 and 196,695.41

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Solution

The fourth proportional to 357,843.83, 493,818.95 and 196,695.41 is: 271,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,843.83 : 493,818.95 = 196,695.41 : x
  2. Step 2: Convert to fraction form
    357,843.83/493,818.95 = 196,695.41/x
  3. Step 3: Cross multiply
    357,843.83x = 493,818.95 × 196,695.41
  4. Step 4: Simplify right side
    357,843.83x = 97,131,917,383.45
  5. Step 5: Solve for x
    x = 97,131,917,383.45/357,843.83
  6. Step 6: Final answer
    x = 271,436.62

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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.