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Finding the Fourth Proportional to 333,642.75, 500,463.89 and 133,963.04

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Solution

The fourth proportional to 333,642.75, 500,463.89 and 133,963.04 is: 200,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,642.75 : 500,463.89 = 133,963.04 : x
  2. Step 2: Convert to fraction form
    333,642.75/500,463.89 = 133,963.04/x
  3. Step 3: Cross multiply
    333,642.75x = 500,463.89 × 133,963.04
  4. Step 4: Simplify right side
    333,642.75x = 67,043,664,114.63
  5. Step 5: Solve for x
    x = 67,043,664,114.63/333,642.75
  6. Step 6: Final answer
    x = 200,944.47

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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.