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Finding the Fourth Proportional to 382,337.56, 573,469.24 and 116,100.40

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Solution

The fourth proportional to 382,337.56, 573,469.24 and 116,100.40 is: 174,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,337.56 : 573,469.24 = 116,100.40 : x
  2. Step 2: Convert to fraction form
    382,337.56/573,469.24 = 116,100.40/x
  3. Step 3: Cross multiply
    382,337.56x = 573,469.24 × 116,100.40
  4. Step 4: Simplify right side
    382,337.56x = 66,580,008,151.70
  5. Step 5: Solve for x
    x = 66,580,008,151.70/382,337.56
  6. Step 6: Final answer
    x = 174,139.33

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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.