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Finding the Fourth Proportional to 293,788.50, 405,552.15 and 198,424.37

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Solution

The fourth proportional to 293,788.50, 405,552.15 and 198,424.37 is: 273,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,788.50 : 405,552.15 = 198,424.37 : x
  2. Step 2: Convert to fraction form
    293,788.50/405,552.15 = 198,424.37/x
  3. Step 3: Cross multiply
    293,788.50x = 405,552.15 × 198,424.37
  4. Step 4: Simplify right side
    293,788.50x = 80,471,427,838.13
  5. Step 5: Solve for x
    x = 80,471,427,838.13/293,788.50
  6. Step 6: Final answer
    x = 273,909.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.