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Finding the Fourth Proportional to 362,882.44, 500,794.85 and 201,740.17

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Solution

The fourth proportional to 362,882.44, 500,794.85 and 201,740.17 is: 278,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,882.44 : 500,794.85 = 201,740.17 : x
  2. Step 2: Convert to fraction form
    362,882.44/500,794.85 = 201,740.17/x
  3. Step 3: Cross multiply
    362,882.44x = 500,794.85 × 201,740.17
  4. Step 4: Simplify right side
    362,882.44x = 101,030,438,174.13
  5. Step 5: Solve for x
    x = 101,030,438,174.13/362,882.44
  6. Step 6: Final answer
    x = 278,410.93

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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.