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Finding the Fourth Proportional to 357,346.57, 493,139.25 and 196,212.07

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Solution

The fourth proportional to 357,346.57, 493,139.25 and 196,212.07 is: 270,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,346.57 : 493,139.25 = 196,212.07 : x
  2. Step 2: Convert to fraction form
    357,346.57/493,139.25 = 196,212.07/x
  3. Step 3: Cross multiply
    357,346.57x = 493,139.25 × 196,212.07
  4. Step 4: Simplify right side
    357,346.57x = 96,759,873,040.75
  5. Step 5: Solve for x
    x = 96,759,873,040.75/357,346.57
  6. Step 6: Final answer
    x = 270,773.20

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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.