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Finding the Fourth Proportional to 462,513.96, 693,761.06 and 213,195.96

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Solution

The fourth proportional to 462,513.96, 693,761.06 and 213,195.96 is: 319,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,513.96 : 693,761.06 = 213,195.96 : x
  2. Step 2: Convert to fraction form
    462,513.96/693,761.06 = 213,195.96/x
  3. Step 3: Cross multiply
    462,513.96x = 693,761.06 × 213,195.96
  4. Step 4: Simplify right side
    462,513.96x = 147,907,055,197.32
  5. Step 5: Solve for x
    x = 147,907,055,197.32/462,513.96
  6. Step 6: Final answer
    x = 319,789.39

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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.