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Finding the Fourth Proportional to 462,604.10, 694,165.35 and 196,319.30

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Solution

The fourth proportional to 462,604.10, 694,165.35 and 196,319.30 is: 294,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,604.10 : 694,165.35 = 196,319.30 : x
  2. Step 2: Convert to fraction form
    462,604.10/694,165.35 = 196,319.30/x
  3. Step 3: Cross multiply
    462,604.10x = 694,165.35 × 196,319.30
  4. Step 4: Simplify right side
    462,604.10x = 136,278,055,596.26
  5. Step 5: Solve for x
    x = 136,278,055,596.26/462,604.10
  6. Step 6: Final answer
    x = 294,588.95

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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.