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Finding the Fourth Proportional to 462,319.80, 693,481.86 and 196,013.40

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Solution

The fourth proportional to 462,319.80, 693,481.86 and 196,013.40 is: 294,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,319.80 : 693,481.86 = 196,013.40 : x
  2. Step 2: Convert to fraction form
    462,319.80/693,481.86 = 196,013.40/x
  3. Step 3: Cross multiply
    462,319.80x = 693,481.86 × 196,013.40
  4. Step 4: Simplify right side
    462,319.80x = 135,931,737,216.92
  5. Step 5: Solve for x
    x = 135,931,737,216.92/462,319.80
  6. Step 6: Final answer
    x = 294,021.02

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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.