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Finding the Fourth Proportional to 331,892, 458,045.52 and 204,564.32

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Solution

The fourth proportional to 331,892, 458,045.52 and 204,564.32 is: 282,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,892 : 458,045.52 = 204,564.32 : x
  2. Step 2: Convert to fraction form
    331,892/458,045.52 = 204,564.32/x
  3. Step 3: Cross multiply
    331,892x = 458,045.52 × 204,564.32
  4. Step 4: Simplify right side
    331,892x = 93,699,770,327.85
  5. Step 5: Solve for x
    x = 93,699,770,327.85/331,892
  6. Step 6: Final answer
    x = 282,320.06

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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.