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Finding the Fourth Proportional to 412,771.80, 619,244.10 and 132,317.40

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Solution

The fourth proportional to 412,771.80, 619,244.10 and 132,317.40 is: 198,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,771.80 : 619,244.10 = 132,317.40 : x
  2. Step 2: Convert to fraction form
    412,771.80/619,244.10 = 132,317.40/x
  3. Step 3: Cross multiply
    412,771.80x = 619,244.10 × 132,317.40
  4. Step 4: Simplify right side
    412,771.80x = 81,936,769,277.34
  5. Step 5: Solve for x
    x = 81,936,769,277.34/412,771.80
  6. Step 6: Final answer
    x = 198,503.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.