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Finding the Fourth Proportional to 424,824.30, 586,257.69 and 233,836.32

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Solution

The fourth proportional to 424,824.30, 586,257.69 and 233,836.32 is: 322,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824.30 : 586,257.69 = 233,836.32 : x
  2. Step 2: Convert to fraction form
    424,824.30/586,257.69 = 233,836.32/x
  3. Step 3: Cross multiply
    424,824.30x = 586,257.69 × 233,836.32
  4. Step 4: Simplify right side
    424,824.30x = 137,088,340,801.30
  5. Step 5: Solve for x
    x = 137,088,340,801.30/424,824.30
  6. Step 6: Final answer
    x = 322,694.21

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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.