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Finding the Fourth Proportional to 462,618.54, 694,124.64 and 196,436.34

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Solution

The fourth proportional to 462,618.54, 694,124.64 and 196,436.34 is: 294,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,618.54 : 694,124.64 = 196,436.34 : x
  2. Step 2: Convert to fraction form
    462,618.54/694,124.64 = 196,436.34/x
  3. Step 3: Cross multiply
    462,618.54x = 694,124.64 × 196,436.34
  4. Step 4: Simplify right side
    462,618.54x = 136,351,303,785.42
  5. Step 5: Solve for x
    x = 136,351,303,785.42/462,618.54
  6. Step 6: Final answer
    x = 294,738.09

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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.