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Finding the Fourth Proportional to 308,463.20, 462,003.60 and 160,546.40

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Solution

The fourth proportional to 308,463.20, 462,003.60 and 160,546.40 is: 240,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,463.20 : 462,003.60 = 160,546.40 : x
  2. Step 2: Convert to fraction form
    308,463.20/462,003.60 = 160,546.40/x
  3. Step 3: Cross multiply
    308,463.20x = 462,003.60 × 160,546.40
  4. Step 4: Simplify right side
    308,463.20x = 74,173,014,767.04
  5. Step 5: Solve for x
    x = 74,173,014,767.04/308,463.20
  6. Step 6: Final answer
    x = 240,459.85

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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.