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Finding the Fourth Proportional to 306,107.46, 422,407.80 and 170,132.58

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Solution

The fourth proportional to 306,107.46, 422,407.80 and 170,132.58 is: 234,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,107.46 : 422,407.80 = 170,132.58 : x
  2. Step 2: Convert to fraction form
    306,107.46/422,407.80 = 170,132.58/x
  3. Step 3: Cross multiply
    306,107.46x = 422,407.80 × 170,132.58
  4. Step 4: Simplify right side
    306,107.46x = 71,865,328,826.12
  5. Step 5: Solve for x
    x = 71,865,328,826.12/306,107.46
  6. Step 6: Final answer
    x = 234,771.57

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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.