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Finding the Fourth Proportional to 422,241.68, 582,693.72 and 231,267.08

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Solution

The fourth proportional to 422,241.68, 582,693.72 and 231,267.08 is: 319,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,241.68 : 582,693.72 = 231,267.08 : x
  2. Step 2: Convert to fraction form
    422,241.68/582,693.72 = 231,267.08/x
  3. Step 3: Cross multiply
    422,241.68x = 582,693.72 × 231,267.08
  4. Step 4: Simplify right side
    422,241.68x = 134,757,875,158.74
  5. Step 5: Solve for x
    x = 134,757,875,158.74/422,241.68
  6. Step 6: Final answer
    x = 319,148.68

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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.