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Finding the Fourth Proportional to 328,906.78, 493,273.77 and 141,876.70

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Solution

The fourth proportional to 328,906.78, 493,273.77 and 141,876.70 is: 212,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,906.78 : 493,273.77 = 141,876.70 : x
  2. Step 2: Convert to fraction form
    328,906.78/493,273.77 = 141,876.70/x
  3. Step 3: Cross multiply
    328,906.78x = 493,273.77 × 141,876.70
  4. Step 4: Simplify right side
    328,906.78x = 69,984,054,684.16
  5. Step 5: Solve for x
    x = 69,984,054,684.16/328,906.78
  6. Step 6: Final answer
    x = 212,777.78

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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.