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Finding the Fourth Proportional to 462,854.35, 694,145.44 and 196,612.75

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Solution

The fourth proportional to 462,854.35, 694,145.44 and 196,612.75 is: 294,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,854.35 : 694,145.44 = 196,612.75 : x
  2. Step 2: Convert to fraction form
    462,854.35/694,145.44 = 196,612.75/x
  3. Step 3: Cross multiply
    462,854.35x = 694,145.44 × 196,612.75
  4. Step 4: Simplify right side
    462,854.35x = 136,477,843,858.36
  5. Step 5: Solve for x
    x = 136,477,843,858.36/462,854.35
  6. Step 6: Final answer
    x = 294,861.32

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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.