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Finding the Fourth Proportional to 294,444.34, 405,924.81 and 198,799.54

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Solution

The fourth proportional to 294,444.34, 405,924.81 and 198,799.54 is: 274,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,444.34 : 405,924.81 = 198,799.54 : x
  2. Step 2: Convert to fraction form
    294,444.34/405,924.81 = 198,799.54/x
  3. Step 3: Cross multiply
    294,444.34x = 405,924.81 × 198,799.54
  4. Step 4: Simplify right side
    294,444.34x = 80,697,665,502.59
  5. Step 5: Solve for x
    x = 80,697,665,502.59/294,444.34
  6. Step 6: Final answer
    x = 274,067.64

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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.