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Finding the Fourth Proportional to 428,971.50, 643,454.46 and 109,120.62

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Solution

The fourth proportional to 428,971.50, 643,454.46 and 109,120.62 is: 163,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,971.50 : 643,454.46 = 109,120.62 : x
  2. Step 2: Convert to fraction form
    428,971.50/643,454.46 = 109,120.62/x
  3. Step 3: Cross multiply
    428,971.50x = 643,454.46 × 109,120.62
  4. Step 4: Simplify right side
    428,971.50x = 70,214,149,616.97
  5. Step 5: Solve for x
    x = 70,214,149,616.97/428,971.50
  6. Step 6: Final answer
    x = 163,680.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.