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Finding the Fourth Proportional to 466,682.57, 700,295.72 and 196,794.17

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Solution

The fourth proportional to 466,682.57, 700,295.72 and 196,794.17 is: 295,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,682.57 : 700,295.72 = 196,794.17 : x
  2. Step 2: Convert to fraction form
    466,682.57/700,295.72 = 196,794.17/x
  3. Step 3: Cross multiply
    466,682.57x = 700,295.72 × 196,794.17
  4. Step 4: Simplify right side
    466,682.57x = 137,814,114,971.95
  5. Step 5: Solve for x
    x = 137,814,114,971.95/466,682.57
  6. Step 6: Final answer
    x = 295,305.90

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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.