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Finding the Fourth Proportional to 362,882, 500,794.24 and 201,739.74

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Solution

The fourth proportional to 362,882, 500,794.24 and 201,739.74 is: 278,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,882 : 500,794.24 = 201,739.74 : x
  2. Step 2: Convert to fraction form
    362,882/500,794.24 = 201,739.74/x
  3. Step 3: Cross multiply
    362,882x = 500,794.24 × 201,739.74
  4. Step 4: Simplify right side
    362,882x = 101,030,099,771.10
  5. Step 5: Solve for x
    x = 101,030,099,771.10/362,882
  6. Step 6: Final answer
    x = 278,410.34

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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.