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Finding the Fourth Proportional to 382,758.56, 574,220.87 and 116,512.15

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Solution

The fourth proportional to 382,758.56, 574,220.87 and 116,512.15 is: 174,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,758.56 : 574,220.87 = 116,512.15 : x
  2. Step 2: Convert to fraction form
    382,758.56/574,220.87 = 116,512.15/x
  3. Step 3: Cross multiply
    382,758.56x = 574,220.87 × 116,512.15
  4. Step 4: Simplify right side
    382,758.56x = 66,903,708,138.57
  5. Step 5: Solve for x
    x = 66,903,708,138.57/382,758.56
  6. Step 6: Final answer
    x = 174,793.50

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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.