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Finding the Fourth Proportional to 367,643.90, 507,318.25 and 204,305.22

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Solution

The fourth proportional to 367,643.90, 507,318.25 and 204,305.22 is: 281,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,643.90 : 507,318.25 = 204,305.22 : x
  2. Step 2: Convert to fraction form
    367,643.90/507,318.25 = 204,305.22/x
  3. Step 3: Cross multiply
    367,643.90x = 507,318.25 × 204,305.22
  4. Step 4: Simplify right side
    367,643.90x = 103,647,766,676.27
  5. Step 5: Solve for x
    x = 103,647,766,676.27/367,643.90
  6. Step 6: Final answer
    x = 281,924.35

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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.