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Finding the Fourth Proportional to 424,218.28, 585,425.16 and 233,233

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Solution

The fourth proportional to 424,218.28, 585,425.16 and 233,233 is: 321,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,218.28 : 585,425.16 = 233,233 : x
  2. Step 2: Convert to fraction form
    424,218.28/585,425.16 = 233,233/x
  3. Step 3: Cross multiply
    424,218.28x = 585,425.16 × 233,233
  4. Step 4: Simplify right side
    424,218.28x = 136,540,466,342.28
  5. Step 5: Solve for x
    x = 136,540,466,342.28/424,218.28
  6. Step 6: Final answer
    x = 321,863.70

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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.