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Finding the Fourth Proportional to 582,420.68, 803,738.89 and 327,771.86

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Solution

The fourth proportional to 582,420.68, 803,738.89 and 327,771.86 is: 452,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,420.68 : 803,738.89 = 327,771.86 : x
  2. Step 2: Convert to fraction form
    582,420.68/803,738.89 = 327,771.86/x
  3. Step 3: Cross multiply
    582,420.68x = 803,738.89 × 327,771.86
  4. Step 4: Simplify right side
    582,420.68x = 263,442,992,119.55
  5. Step 5: Solve for x
    x = 263,442,992,119.55/582,420.68
  6. Step 6: Final answer
    x = 452,324.25

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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.