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Finding the Fourth Proportional to 403,135.46, 556,327.02 and 221,847.38

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Solution

The fourth proportional to 403,135.46, 556,327.02 and 221,847.38 is: 306,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,135.46 : 556,327.02 = 221,847.38 : x
  2. Step 2: Convert to fraction form
    403,135.46/556,327.02 = 221,847.38/x
  3. Step 3: Cross multiply
    403,135.46x = 556,327.02 × 221,847.38
  4. Step 4: Simplify right side
    403,135.46x = 123,419,693,201.03
  5. Step 5: Solve for x
    x = 123,419,693,201.03/403,135.46
  6. Step 6: Final answer
    x = 306,149.44

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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.