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Finding the Fourth Proportional to 357,353.84, 493,149.26 and 196,219.33

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Solution

The fourth proportional to 357,353.84, 493,149.26 and 196,219.33 is: 270,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,353.84 : 493,149.26 = 196,219.33 : x
  2. Step 2: Convert to fraction form
    357,353.84/493,149.26 = 196,219.33/x
  3. Step 3: Cross multiply
    357,353.84x = 493,149.26 × 196,219.33
  4. Step 4: Simplify right side
    357,353.84x = 96,765,416,644.87
  5. Step 5: Solve for x
    x = 96,765,416,644.87/357,353.84
  6. Step 6: Final answer
    x = 270,783.20

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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.