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Finding the Fourth Proportional to 437,734.82, 656,608.80 and 122,193.38

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Solution

The fourth proportional to 437,734.82, 656,608.80 and 122,193.38 is: 183,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,734.82 : 656,608.80 = 122,193.38 : x
  2. Step 2: Convert to fraction form
    437,734.82/656,608.80 = 122,193.38/x
  3. Step 3: Cross multiply
    437,734.82x = 656,608.80 × 122,193.38
  4. Step 4: Simplify right side
    437,734.82x = 80,233,245,326.70
  5. Step 5: Solve for x
    x = 80,233,245,326.70/437,734.82
  6. Step 6: Final answer
    x = 183,291.90

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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.