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Finding the Fourth Proportional to 462,838.60, 694,121.82 and 196,597

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Solution

The fourth proportional to 462,838.60, 694,121.82 and 196,597 is: 294,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,838.60 : 694,121.82 = 196,597 : x
  2. Step 2: Convert to fraction form
    462,838.60/694,121.82 = 196,597/x
  3. Step 3: Cross multiply
    462,838.60x = 694,121.82 × 196,597
  4. Step 4: Simplify right side
    462,838.60x = 136,462,267,446.54
  5. Step 5: Solve for x
    x = 136,462,267,446.54/462,838.60
  6. Step 6: Final answer
    x = 294,837.70

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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.