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Finding the Fourth Proportional to 367,781.50, 507,534.96 and 204,433.72

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Solution

The fourth proportional to 367,781.50, 507,534.96 and 204,433.72 is: 282,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,781.50 : 507,534.96 = 204,433.72 : x
  2. Step 2: Convert to fraction form
    367,781.50/507,534.96 = 204,433.72/x
  3. Step 3: Cross multiply
    367,781.50x = 507,534.96 × 204,433.72
  4. Step 4: Simplify right side
    367,781.50x = 103,757,259,902.85
  5. Step 5: Solve for x
    x = 103,757,259,902.85/367,781.50
  6. Step 6: Final answer
    x = 282,116.58

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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.