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Finding the Fourth Proportional to 462,930.02, 694,324.84 and 125,996.93

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Solution

The fourth proportional to 462,930.02, 694,324.84 and 125,996.93 is: 188,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,930.02 : 694,324.84 = 125,996.93 : x
  2. Step 2: Convert to fraction form
    462,930.02/694,324.84 = 125,996.93/x
  3. Step 3: Cross multiply
    462,930.02x = 694,324.84 × 125,996.93
  4. Step 4: Simplify right side
    462,930.02x = 87,482,794,239.88
  5. Step 5: Solve for x
    x = 87,482,794,239.88/462,930.02
  6. Step 6: Final answer
    x = 188,976.28

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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.