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Finding the Fourth Proportional to 462,840.85, 694,125.19 and 196,599.25

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Solution

The fourth proportional to 462,840.85, 694,125.19 and 196,599.25 is: 294,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,840.85 : 694,125.19 = 196,599.25 : x
  2. Step 2: Convert to fraction form
    462,840.85/694,125.19 = 196,599.25/x
  3. Step 3: Cross multiply
    462,840.85x = 694,125.19 × 196,599.25
  4. Step 4: Simplify right side
    462,840.85x = 136,464,491,760.11
  5. Step 5: Solve for x
    x = 136,464,491,760.11/462,840.85
  6. Step 6: Final answer
    x = 294,841.07

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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.