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Finding the Fourth Proportional to 424,182.64, 585,383.22 and 233,200.84

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Solution

The fourth proportional to 424,182.64, 585,383.22 and 233,200.84 is: 321,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,182.64 : 585,383.22 = 233,200.84 : x
  2. Step 2: Convert to fraction form
    424,182.64/585,383.22 = 233,200.84/x
  3. Step 3: Cross multiply
    424,182.64x = 585,383.22 × 233,200.84
  4. Step 4: Simplify right side
    424,182.64x = 136,511,858,625.91
  5. Step 5: Solve for x
    x = 136,511,858,625.91/424,182.64
  6. Step 6: Final answer
    x = 321,823.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.