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Finding the Fourth Proportional to 462,485.88, 693,712.98 and 196,074.84

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Solution

The fourth proportional to 462,485.88, 693,712.98 and 196,074.84 is: 294,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,485.88 : 693,712.98 = 196,074.84 : x
  2. Step 2: Convert to fraction form
    462,485.88/693,712.98 = 196,074.84/x
  3. Step 3: Cross multiply
    462,485.88x = 693,712.98 × 196,074.84
  4. Step 4: Simplify right side
    462,485.88x = 136,019,661,559.42
  5. Step 5: Solve for x
    x = 136,019,661,559.42/462,485.88
  6. Step 6: Final answer
    x = 294,105.54

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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.