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Finding the Fourth Proportional to 595,082, 821,213.16 and 326,827.28

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Solution

The fourth proportional to 595,082, 821,213.16 and 326,827.28 is: 451,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,082 : 821,213.16 = 326,827.28 : x
  2. Step 2: Convert to fraction form
    595,082/821,213.16 = 326,827.28/x
  3. Step 3: Cross multiply
    595,082x = 821,213.16 × 326,827.28
  4. Step 4: Simplify right side
    595,082x = 268,394,863,383.01
  5. Step 5: Solve for x
    x = 268,394,863,383.01/595,082
  6. Step 6: Final answer
    x = 451,021.65

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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.