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Finding the Fourth Proportional to 582,162.52, 803,383.08 and 327,514

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Solution

The fourth proportional to 582,162.52, 803,383.08 and 327,514 is: 451,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,162.52 : 803,383.08 = 327,514 : x
  2. Step 2: Convert to fraction form
    582,162.52/803,383.08 = 327,514/x
  3. Step 3: Cross multiply
    582,162.52x = 803,383.08 × 327,514
  4. Step 4: Simplify right side
    582,162.52x = 263,119,206,063.12
  5. Step 5: Solve for x
    x = 263,119,206,063.12/582,162.52
  6. Step 6: Final answer
    x = 451,968.65

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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.