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Finding the Fourth Proportional to 520,822.38, 718,496.55 and 305,958.54

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Solution

The fourth proportional to 520,822.38, 718,496.55 and 305,958.54 is: 422,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,822.38 : 718,496.55 = 305,958.54 : x
  2. Step 2: Convert to fraction form
    520,822.38/718,496.55 = 305,958.54/x
  3. Step 3: Cross multiply
    520,822.38x = 718,496.55 × 305,958.54
  4. Step 4: Simplify right side
    520,822.38x = 219,830,155,433.04
  5. Step 5: Solve for x
    x = 219,830,155,433.04/520,822.38
  6. Step 6: Final answer
    x = 422,082.78

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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.