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Finding the Fourth Proportional to 333,361.47, 500,180.66 and 213,553.50

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Solution

The fourth proportional to 333,361.47, 500,180.66 and 213,553.50 is: 320,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,361.47 : 500,180.66 = 213,553.50 : x
  2. Step 2: Convert to fraction form
    333,361.47/500,180.66 = 213,553.50/x
  3. Step 3: Cross multiply
    333,361.47x = 500,180.66 × 213,553.50
  4. Step 4: Simplify right side
    333,361.47x = 106,815,329,507.54
  5. Step 5: Solve for x
    x = 106,815,329,507.54/333,361.47
  6. Step 6: Final answer
    x = 320,418.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.