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Finding the Fourth Proportional to 357,255.59, 493,010.75 and 196,113.38

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Solution

The fourth proportional to 357,255.59, 493,010.75 and 196,113.38 is: 270,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,255.59 : 493,010.75 = 196,113.38 : x
  2. Step 2: Convert to fraction form
    357,255.59/493,010.75 = 196,113.38/x
  3. Step 3: Cross multiply
    357,255.59x = 493,010.75 × 196,113.38
  4. Step 4: Simplify right side
    357,255.59x = 96,686,002,584.06
  5. Step 5: Solve for x
    x = 96,686,002,584.06/357,255.59
  6. Step 6: Final answer
    x = 270,635.38

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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.