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Finding the Fourth Proportional to 294,065.14, 440,959.46 and 205,418.74

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Solution

The fourth proportional to 294,065.14, 440,959.46 and 205,418.74 is: 308,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,065.14 : 440,959.46 = 205,418.74 : x
  2. Step 2: Convert to fraction form
    294,065.14/440,959.46 = 205,418.74/x
  3. Step 3: Cross multiply
    294,065.14x = 440,959.46 × 205,418.74
  4. Step 4: Simplify right side
    294,065.14x = 90,581,336,664.28
  5. Step 5: Solve for x
    x = 90,581,336,664.28/294,065.14
  6. Step 6: Final answer
    x = 308,031.54

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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.