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Finding the Fourth Proportional to 365,918.12, 504,958.96 and 200,345.75

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Solution

The fourth proportional to 365,918.12, 504,958.96 and 200,345.75 is: 276,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,918.12 : 504,958.96 = 200,345.75 : x
  2. Step 2: Convert to fraction form
    365,918.12/504,958.96 = 200,345.75/x
  3. Step 3: Cross multiply
    365,918.12x = 504,958.96 × 200,345.75
  4. Step 4: Simplify right side
    365,918.12x = 101,166,381,560.42
  5. Step 5: Solve for x
    x = 101,166,381,560.42/365,918.12
  6. Step 6: Final answer
    x = 276,472.73

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1.5x scale

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.