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Finding the Fourth Proportional to 357,842.89, 493,817.65 and 196,694.47

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Solution

The fourth proportional to 357,842.89, 493,817.65 and 196,694.47 is: 271,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,842.89 : 493,817.65 = 196,694.47 : x
  2. Step 2: Convert to fraction form
    357,842.89/493,817.65 = 196,694.47/x
  3. Step 3: Cross multiply
    357,842.89x = 493,817.65 × 196,694.47
  4. Step 4: Simplify right side
    357,842.89x = 97,131,201,068.93
  5. Step 5: Solve for x
    x = 97,131,201,068.93/357,842.89
  6. Step 6: Final answer
    x = 271,435.33

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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.