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Finding the Fourth Proportional to 362,144.73, 499,719.20 and 201,006.57

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Solution

The fourth proportional to 362,144.73, 499,719.20 and 201,006.57 is: 277,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,144.73 : 499,719.20 = 201,006.57 : x
  2. Step 2: Convert to fraction form
    362,144.73/499,719.20 = 201,006.57/x
  3. Step 3: Cross multiply
    362,144.73x = 499,719.20 × 201,006.57
  4. Step 4: Simplify right side
    362,144.73x = 100,446,841,350.11
  5. Step 5: Solve for x
    x = 100,446,841,350.11/362,144.73
  6. Step 6: Final answer
    x = 277,366.57

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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.