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Finding the Fourth Proportional to 582,023.40, 873,691.20 and 449,491.20

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Solution

The fourth proportional to 582,023.40, 873,691.20 and 449,491.20 is: 674,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,023.40 : 873,691.20 = 449,491.20 : x
  2. Step 2: Convert to fraction form
    582,023.40/873,691.20 = 449,491.20/x
  3. Step 3: Cross multiply
    582,023.40x = 873,691.20 × 449,491.20
  4. Step 4: Simplify right side
    582,023.40x = 392,716,505,917.44
  5. Step 5: Solve for x
    x = 392,716,505,917.44/582,023.40
  6. Step 6: Final answer
    x = 674,743.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.