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Finding the Fourth Proportional to 298,675.74, 447,858.06 and 140,861.82

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Solution

The fourth proportional to 298,675.74, 447,858.06 and 140,861.82 is: 211,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,675.74 : 447,858.06 = 140,861.82 : x
  2. Step 2: Convert to fraction form
    298,675.74/447,858.06 = 140,861.82/x
  3. Step 3: Cross multiply
    298,675.74x = 447,858.06 × 140,861.82
  4. Step 4: Simplify right side
    298,675.74x = 63,086,101,433.27
  5. Step 5: Solve for x
    x = 63,086,101,433.27/298,675.74
  6. Step 6: Final answer
    x = 211,219.37

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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.