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Finding the Fourth Proportional to 488,614.57, 733,014.02 and 185,099.61

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Solution

The fourth proportional to 488,614.57, 733,014.02 and 185,099.61 is: 277,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,614.57 : 733,014.02 = 185,099.61 : x
  2. Step 2: Convert to fraction form
    488,614.57/733,014.02 = 185,099.61/x
  3. Step 3: Cross multiply
    488,614.57x = 733,014.02 × 185,099.61
  4. Step 4: Simplify right side
    488,614.57x = 135,680,609,226.53
  5. Step 5: Solve for x
    x = 135,680,609,226.53/488,614.57
  6. Step 6: Final answer
    x = 277,684.33

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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.