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Finding the Fourth Proportional to 357,604.81, 493,503.33 and 196,470.29

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Solution

The fourth proportional to 357,604.81, 493,503.33 and 196,470.29 is: 271,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,604.81 : 493,503.33 = 196,470.29 : x
  2. Step 2: Convert to fraction form
    357,604.81/493,503.33 = 196,470.29/x
  3. Step 3: Cross multiply
    357,604.81x = 493,503.33 × 196,470.29
  4. Step 4: Simplify right side
    357,604.81x = 96,958,744,331.59
  5. Step 5: Solve for x
    x = 96,958,744,331.59/357,604.81
  6. Step 6: Final answer
    x = 271,133.78

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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.