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Finding the Fourth Proportional to 357,362.33, 493,156.61 and 196,215.97

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Solution

The fourth proportional to 357,362.33, 493,156.61 and 196,215.97 is: 270,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,362.33 : 493,156.61 = 196,215.97 : x
  2. Step 2: Convert to fraction form
    357,362.33/493,156.61 = 196,215.97/x
  3. Step 3: Cross multiply
    357,362.33x = 493,156.61 × 196,215.97
  4. Step 4: Simplify right side
    357,362.33x = 96,765,202,593.06
  5. Step 5: Solve for x
    x = 96,765,202,593.06/357,362.33
  6. Step 6: Final answer
    x = 270,776.17

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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.