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Finding the Fourth Proportional to 323,839.44, 485,332.68 and 181,682

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Solution

The fourth proportional to 323,839.44, 485,332.68 and 181,682 is: 272,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,839.44 : 485,332.68 = 181,682 : x
  2. Step 2: Convert to fraction form
    323,839.44/485,332.68 = 181,682/x
  3. Step 3: Cross multiply
    323,839.44x = 485,332.68 × 181,682
  4. Step 4: Simplify right side
    323,839.44x = 88,176,211,967.76
  5. Step 5: Solve for x
    x = 88,176,211,967.76/323,839.44
  6. Step 6: Final answer
    x = 272,283.73

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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.