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Finding the Fourth Proportional to 357,324.06, 493,121.07 and 196,185.90

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Solution

The fourth proportional to 357,324.06, 493,121.07 and 196,185.90 is: 270,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,324.06 : 493,121.07 = 196,185.90 : x
  2. Step 2: Convert to fraction form
    357,324.06/493,121.07 = 196,185.90/x
  3. Step 3: Cross multiply
    357,324.06x = 493,121.07 × 196,185.90
  4. Step 4: Simplify right side
    357,324.06x = 96,743,400,926.91
  5. Step 5: Solve for x
    x = 96,743,400,926.91/357,324.06
  6. Step 6: Final answer
    x = 270,744.16

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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.