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Finding the Fourth Proportional to 333,864.14, 460,730.90 and 182,961.14

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Solution

The fourth proportional to 333,864.14, 460,730.90 and 182,961.14 is: 252,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,864.14 : 460,730.90 = 182,961.14 : x
  2. Step 2: Convert to fraction form
    333,864.14/460,730.90 = 182,961.14/x
  3. Step 3: Cross multiply
    333,864.14x = 460,730.90 × 182,961.14
  4. Step 4: Simplify right side
    333,864.14x = 84,295,848,850.97
  5. Step 5: Solve for x
    x = 84,295,848,850.97/333,864.14
  6. Step 6: Final answer
    x = 252,485.49

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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.