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Finding the Fourth Proportional to 474,105.78, 711,103.86 and 119,092.77

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Solution

The fourth proportional to 474,105.78, 711,103.86 and 119,092.77 is: 178,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,105.78 : 711,103.86 = 119,092.77 : x
  2. Step 2: Convert to fraction form
    474,105.78/711,103.86 = 119,092.77/x
  3. Step 3: Cross multiply
    474,105.78x = 711,103.86 × 119,092.77
  4. Step 4: Simplify right side
    474,105.78x = 84,687,328,445.09
  5. Step 5: Solve for x
    x = 84,687,328,445.09/474,105.78
  6. Step 6: Final answer
    x = 178,625.39

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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.