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Finding the Fourth Proportional to 357,794.24, 493,755.72 and 196,659.68

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Solution

The fourth proportional to 357,794.24, 493,755.72 and 196,659.68 is: 271,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,794.24 : 493,755.72 = 196,659.68 : x
  2. Step 2: Convert to fraction form
    357,794.24/493,755.72 = 196,659.68/x
  3. Step 3: Cross multiply
    357,794.24x = 493,755.72 × 196,659.68
  4. Step 4: Simplify right side
    357,794.24x = 97,101,841,893.37
  5. Step 5: Solve for x
    x = 97,101,841,893.37/357,794.24
  6. Step 6: Final answer
    x = 271,390.18

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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.