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Finding the Fourth Proportional to 341,976.30, 512,964.45 and 313,982.70

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Solution

The fourth proportional to 341,976.30, 512,964.45 and 313,982.70 is: 470,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,976.30 : 512,964.45 = 313,982.70 : x
  2. Step 2: Convert to fraction form
    341,976.30/512,964.45 = 313,982.70/x
  3. Step 3: Cross multiply
    341,976.30x = 512,964.45 × 313,982.70
  4. Step 4: Simplify right side
    341,976.30x = 161,061,963,015.02
  5. Step 5: Solve for x
    x = 161,061,963,015.02/341,976.30
  6. Step 6: Final answer
    x = 470,974.05

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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.