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Finding the Fourth Proportional to 582,100.96, 803,296.28 and 327,454

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Solution

The fourth proportional to 582,100.96, 803,296.28 and 327,454 is: 451,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,100.96 : 803,296.28 = 327,454 : x
  2. Step 2: Convert to fraction form
    582,100.96/803,296.28 = 327,454/x
  3. Step 3: Cross multiply
    582,100.96x = 803,296.28 × 327,454
  4. Step 4: Simplify right side
    582,100.96x = 263,042,580,071.12
  5. Step 5: Solve for x
    x = 263,042,580,071.12/582,100.96
  6. Step 6: Final answer
    x = 451,884.81

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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.