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Finding the Fourth Proportional to 582,214.22, 803,447.39 and 327,564.80

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Solution

The fourth proportional to 582,214.22, 803,447.39 and 327,564.80 is: 452,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,214.22 : 803,447.39 = 327,564.80 : x
  2. Step 2: Convert to fraction form
    582,214.22/803,447.39 = 327,564.80/x
  3. Step 3: Cross multiply
    582,214.22x = 803,447.39 × 327,564.80
  4. Step 4: Simplify right side
    582,214.22x = 263,181,080,695.64
  5. Step 5: Solve for x
    x = 263,181,080,695.64/582,214.22
  6. Step 6: Final answer
    x = 452,034.79

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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.