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Finding the Fourth Proportional to 306,497.54, 422,968.68 and 170,537.21

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Solution

The fourth proportional to 306,497.54, 422,968.68 and 170,537.21 is: 235,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,497.54 : 422,968.68 = 170,537.21 : x
  2. Step 2: Convert to fraction form
    306,497.54/422,968.68 = 170,537.21/x
  3. Step 3: Cross multiply
    306,497.54x = 422,968.68 × 170,537.21
  4. Step 4: Simplify right side
    306,497.54x = 72,131,896,489.74
  5. Step 5: Solve for x
    x = 72,131,896,489.74/306,497.54
  6. Step 6: Final answer
    x = 235,342.50

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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.