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Finding the Fourth Proportional to 422,047.68, 582,403.68 and 231,024.48

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Solution

The fourth proportional to 422,047.68, 582,403.68 and 231,024.48 is: 318,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,047.68 : 582,403.68 = 231,024.48 : x
  2. Step 2: Convert to fraction form
    422,047.68/582,403.68 = 231,024.48/x
  3. Step 3: Cross multiply
    422,047.68x = 582,403.68 × 231,024.48
  4. Step 4: Simplify right side
    422,047.68x = 134,549,507,322.09
  5. Step 5: Solve for x
    x = 134,549,507,322.09/422,047.68
  6. Step 6: Final answer
    x = 318,801.68

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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.