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Finding the Fourth Proportional to 488,906.26, 733,209.27 and 338,072.48

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Solution

The fourth proportional to 488,906.26, 733,209.27 and 338,072.48 is: 507,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,906.26 : 733,209.27 = 338,072.48 : x
  2. Step 2: Convert to fraction form
    488,906.26/733,209.27 = 338,072.48/x
  3. Step 3: Cross multiply
    488,906.26x = 733,209.27 × 338,072.48
  4. Step 4: Simplify right side
    488,906.26x = 247,877,876,267.89
  5. Step 5: Solve for x
    x = 247,877,876,267.89/488,906.26
  6. Step 6: Final answer
    x = 507,004.91

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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.