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Finding the Fourth Proportional to 424,216.28, 585,422.40 and 233,231

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Solution

The fourth proportional to 424,216.28, 585,422.40 and 233,231 is: 321,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,216.28 : 585,422.40 = 233,231 : x
  2. Step 2: Convert to fraction form
    424,216.28/585,422.40 = 233,231/x
  3. Step 3: Cross multiply
    424,216.28x = 585,422.40 × 233,231
  4. Step 4: Simplify right side
    424,216.28x = 136,538,651,774.40
  5. Step 5: Solve for x
    x = 136,538,651,774.40/424,216.28
  6. Step 6: Final answer
    x = 321,860.94

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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.