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Finding the Fourth Proportional to 323,941.47, 485,518.16 and 229,198.97

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Solution

The fourth proportional to 323,941.47, 485,518.16 and 229,198.97 is: 343,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,941.47 : 485,518.16 = 229,198.97 : x
  2. Step 2: Convert to fraction form
    323,941.47/485,518.16 = 229,198.97/x
  3. Step 3: Cross multiply
    323,941.47x = 485,518.16 × 229,198.97
  4. Step 4: Simplify right side
    323,941.47x = 111,280,262,685.84
  5. Step 5: Solve for x
    x = 111,280,262,685.84/323,941.47
  6. Step 6: Final answer
    x = 343,519.66

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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.