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Finding the Fourth Proportional to 293,783.91, 405,545.81 and 198,419.78

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Solution

The fourth proportional to 293,783.91, 405,545.81 and 198,419.78 is: 273,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,783.91 : 405,545.81 = 198,419.78 : x
  2. Step 2: Convert to fraction form
    293,783.91/405,545.81 = 198,419.78/x
  3. Step 3: Cross multiply
    293,783.91x = 405,545.81 × 198,419.78
  4. Step 4: Simplify right side
    293,783.91x = 80,468,307,380.29
  5. Step 5: Solve for x
    x = 80,468,307,380.29/293,783.91
  6. Step 6: Final answer
    x = 273,903.04

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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.