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Finding the Fourth Proportional to 384,170.06, 576,107.40 and 265,481.58

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Solution

The fourth proportional to 384,170.06, 576,107.40 and 265,481.58 is: 398,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,170.06 : 576,107.40 = 265,481.58 : x
  2. Step 2: Convert to fraction form
    384,170.06/576,107.40 = 265,481.58/x
  3. Step 3: Cross multiply
    384,170.06x = 576,107.40 × 265,481.58
  4. Step 4: Simplify right side
    384,170.06x = 152,945,902,801.69
  5. Step 5: Solve for x
    x = 152,945,902,801.69/384,170.06
  6. Step 6: Final answer
    x = 398,120.31

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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.