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Finding the Fourth Proportional to 357,879.20, 493,863.54 and 196,734.29

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Solution

The fourth proportional to 357,879.20, 493,863.54 and 196,734.29 is: 271,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,879.20 : 493,863.54 = 196,734.29 : x
  2. Step 2: Convert to fraction form
    357,879.20/493,863.54 = 196,734.29/x
  3. Step 3: Cross multiply
    357,879.20x = 493,863.54 × 196,734.29
  4. Step 4: Simplify right side
    357,879.20x = 97,159,892,281.46
  5. Step 5: Solve for x
    x = 97,159,892,281.46/357,879.20
  6. Step 6: Final answer
    x = 271,487.96

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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.