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Finding the Fourth Proportional to 439,081.64, 658,093.82 and 202,099.88

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Solution

The fourth proportional to 439,081.64, 658,093.82 and 202,099.88 is: 302,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,081.64 : 658,093.82 = 202,099.88 : x
  2. Step 2: Convert to fraction form
    439,081.64/658,093.82 = 202,099.88/x
  3. Step 3: Cross multiply
    439,081.64x = 658,093.82 × 202,099.88
  4. Step 4: Simplify right side
    439,081.64x = 133,000,682,050.74
  5. Step 5: Solve for x
    x = 133,000,682,050.74/439,081.64
  6. Step 6: Final answer
    x = 302,906.50

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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.