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Finding the Fourth Proportional to 323,963.38, 447,158.38 and 188,041.12

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Solution

The fourth proportional to 323,963.38, 447,158.38 and 188,041.12 is: 259,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,963.38 : 447,158.38 = 188,041.12 : x
  2. Step 2: Convert to fraction form
    323,963.38/447,158.38 = 188,041.12/x
  3. Step 3: Cross multiply
    323,963.38x = 447,158.38 × 188,041.12
  4. Step 4: Simplify right side
    323,963.38x = 84,084,161,709.74
  5. Step 5: Solve for x
    x = 84,084,161,709.74/323,963.38
  6. Step 6: Final answer
    x = 259,548.35

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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.