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Finding the Fourth Proportional to 293,201.95, 404,662.20 and 185,782.04

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Solution

The fourth proportional to 293,201.95, 404,662.20 and 185,782.04 is: 256,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,201.95 : 404,662.20 = 185,782.04 : x
  2. Step 2: Convert to fraction form
    293,201.95/404,662.20 = 185,782.04/x
  3. Step 3: Cross multiply
    293,201.95x = 404,662.20 × 185,782.04
  4. Step 4: Simplify right side
    293,201.95x = 75,178,969,026.89
  5. Step 5: Solve for x
    x = 75,178,969,026.89/293,201.95
  6. Step 6: Final answer
    x = 256,406.78

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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.