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Finding the Fourth Proportional to 389,636.20, 584,512.70 and 164,996.20

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Solution

The fourth proportional to 389,636.20, 584,512.70 and 164,996.20 is: 247,519.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,636.20 : 584,512.70 = 164,996.20 : x
  2. Step 2: Convert to fraction form
    389,636.20/584,512.70 = 164,996.20/x
  3. Step 3: Cross multiply
    389,636.20x = 584,512.70 × 164,996.20
  4. Step 4: Simplify right side
    389,636.20x = 96,442,374,351.74
  5. Step 5: Solve for x
    x = 96,442,374,351.74/389,636.20
  6. Step 6: Final answer
    x = 247,519.03

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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.