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Finding the Fourth Proportional to 462,844.60, 694,130.82 and 196,603

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Solution

The fourth proportional to 462,844.60, 694,130.82 and 196,603 is: 294,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,844.60 : 694,130.82 = 196,603 : x
  2. Step 2: Convert to fraction form
    462,844.60/694,130.82 = 196,603/x
  3. Step 3: Cross multiply
    462,844.60x = 694,130.82 × 196,603
  4. Step 4: Simplify right side
    462,844.60x = 136,468,201,604.46
  5. Step 5: Solve for x
    x = 136,468,201,604.46/462,844.60
  6. Step 6: Final answer
    x = 294,846.70

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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.