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Finding the Fourth Proportional to 323,282.83, 446,334.56 and 238,251.79

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Solution

The fourth proportional to 323,282.83, 446,334.56 and 238,251.79 is: 328,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,282.83 : 446,334.56 = 238,251.79 : x
  2. Step 2: Convert to fraction form
    323,282.83/446,334.56 = 238,251.79/x
  3. Step 3: Cross multiply
    323,282.83x = 446,334.56 × 238,251.79
  4. Step 4: Simplify right side
    323,282.83x = 106,340,007,858.86
  5. Step 5: Solve for x
    x = 106,340,007,858.86/323,282.83
  6. Step 6: Final answer
    x = 328,938.00

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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.