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Finding the Fourth Proportional to 363,001.47, 500,954.12 and 199,664.87

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Solution

The fourth proportional to 363,001.47, 500,954.12 and 199,664.87 is: 275,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,001.47 : 500,954.12 = 199,664.87 : x
  2. Step 2: Convert to fraction form
    363,001.47/500,954.12 = 199,664.87/x
  3. Step 3: Cross multiply
    363,001.47x = 500,954.12 × 199,664.87
  4. Step 4: Simplify right side
    363,001.47x = 100,022,936,491.41
  5. Step 5: Solve for x
    x = 100,022,936,491.41/363,001.47
  6. Step 6: Final answer
    x = 275,544.17

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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.