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Finding the Fourth Proportional to 394,277.80, 591,503.10 and 194,693.80

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Solution

The fourth proportional to 394,277.80, 591,503.10 and 194,693.80 is: 292,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,277.80 : 591,503.10 = 194,693.80 : x
  2. Step 2: Convert to fraction form
    394,277.80/591,503.10 = 194,693.80/x
  3. Step 3: Cross multiply
    394,277.80x = 591,503.10 × 194,693.80
  4. Step 4: Simplify right side
    394,277.80x = 115,161,986,250.78
  5. Step 5: Solve for x
    x = 115,161,986,250.78/394,277.80
  6. Step 6: Final answer
    x = 292,083.36

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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.