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Finding the Fourth Proportional to 382,190.98, 573,355.41 and 157,428.73

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Solution

The fourth proportional to 382,190.98, 573,355.41 and 157,428.73 is: 236,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,190.98 : 573,355.41 = 157,428.73 : x
  2. Step 2: Convert to fraction form
    382,190.98/573,355.41 = 157,428.73/x
  3. Step 3: Cross multiply
    382,190.98x = 573,355.41 × 157,428.73
  4. Step 4: Simplify right side
    382,190.98x = 90,262,614,034.93
  5. Step 5: Solve for x
    x = 90,262,614,034.93/382,190.98
  6. Step 6: Final answer
    x = 236,171.50

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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.