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Finding the Fourth Proportional to 582,078.96, 803,265.93 and 327,431.97

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Solution

The fourth proportional to 582,078.96, 803,265.93 and 327,431.97 is: 451,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,078.96 : 803,265.93 = 327,431.97 : x
  2. Step 2: Convert to fraction form
    582,078.96/803,265.93 = 327,431.97/x
  3. Step 3: Cross multiply
    582,078.96x = 803,265.93 × 327,431.97
  4. Step 4: Simplify right side
    582,078.96x = 263,014,945,893.78
  5. Step 5: Solve for x
    x = 263,014,945,893.78/582,078.96
  6. Step 6: Final answer
    x = 451,854.41

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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.