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Finding the Fourth Proportional to 462,851.85, 694,141.70 and 196,610.25

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Solution

The fourth proportional to 462,851.85, 694,141.70 and 196,610.25 is: 294,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,851.85 : 694,141.70 = 196,610.25 : x
  2. Step 2: Convert to fraction form
    462,851.85/694,141.70 = 196,610.25/x
  3. Step 3: Cross multiply
    462,851.85x = 694,141.70 × 196,610.25
  4. Step 4: Simplify right side
    462,851.85x = 136,475,372,189.37
  5. Step 5: Solve for x
    x = 136,475,372,189.37/462,851.85
  6. Step 6: Final answer
    x = 294,857.57

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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.