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Finding the Fourth Proportional to 367,617.80, 507,311.34 and 204,273.61

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Solution

The fourth proportional to 367,617.80, 507,311.34 and 204,273.61 is: 281,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,617.80 : 507,311.34 = 204,273.61 : x
  2. Step 2: Convert to fraction form
    367,617.80/507,311.34 = 204,273.61/x
  3. Step 3: Cross multiply
    367,617.80x = 507,311.34 × 204,273.61
  4. Step 4: Simplify right side
    367,617.80x = 103,630,316,781.43
  5. Step 5: Solve for x
    x = 103,630,316,781.43/367,617.80
  6. Step 6: Final answer
    x = 281,896.89

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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.