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Finding the Fourth Proportional to 422,023.61, 582,392.61 and 231,037.00

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Solution

The fourth proportional to 422,023.61, 582,392.61 and 231,037.00 is: 318,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,023.61 : 582,392.61 = 231,037.00 : x
  2. Step 2: Convert to fraction form
    422,023.61/582,392.61 = 231,037.00/x
  3. Step 3: Cross multiply
    422,023.61x = 582,392.61 × 231,037.00
  4. Step 4: Simplify right side
    422,023.61x = 134,554,238,511.81
  5. Step 5: Solve for x
    x = 134,554,238,511.81/422,023.61
  6. Step 6: Final answer
    x = 318,831.07

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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.