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Finding the Fourth Proportional to 462,851.36, 694,369.92 and 196,609.76

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Solution

The fourth proportional to 462,851.36, 694,369.92 and 196,609.76 is: 294,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,851.36 : 694,369.92 = 196,609.76 : x
  2. Step 2: Convert to fraction form
    462,851.36/694,369.92 = 196,609.76/x
  3. Step 3: Cross multiply
    462,851.36x = 694,369.92 × 196,609.76
  4. Step 4: Simplify right side
    462,851.36x = 136,519,903,322.42
  5. Step 5: Solve for x
    x = 136,519,903,322.42/462,851.36
  6. Step 6: Final answer
    x = 294,954.09

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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.