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Finding the Fourth Proportional to 389,600.12, 584,759.38 and 197,609.30

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Solution

The fourth proportional to 389,600.12, 584,759.38 and 197,609.30 is: 296,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,600.12 : 584,759.38 = 197,609.30 : x
  2. Step 2: Convert to fraction form
    389,600.12/584,759.38 = 197,609.30/x
  3. Step 3: Cross multiply
    389,600.12x = 584,759.38 × 197,609.30
  4. Step 4: Simplify right side
    389,600.12x = 115,553,891,750.23
  5. Step 5: Solve for x
    x = 115,553,891,750.23/389,600.12
  6. Step 6: Final answer
    x = 296,596.14

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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.