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Finding the Fourth Proportional to 422,340.59, 582,830.96 and 231,354.74

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Solution

The fourth proportional to 422,340.59, 582,830.96 and 231,354.74 is: 319,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,340.59 : 582,830.96 = 231,354.74 : x
  2. Step 2: Convert to fraction form
    422,340.59/582,830.96 = 231,354.74/x
  3. Step 3: Cross multiply
    422,340.59x = 582,830.96 × 231,354.74
  4. Step 4: Simplify right side
    422,340.59x = 134,840,701,143.82
  5. Step 5: Solve for x
    x = 134,840,701,143.82/422,340.59
  6. Step 6: Final answer
    x = 319,270.05

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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.