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Finding the Fourth Proportional to 401,109.80, 601,664.70 and 311,880.20

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Solution

The fourth proportional to 401,109.80, 601,664.70 and 311,880.20 is: 467,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,109.80 : 601,664.70 = 311,880.20 : x
  2. Step 2: Convert to fraction form
    401,109.80/601,664.70 = 311,880.20/x
  3. Step 3: Cross multiply
    401,109.80x = 601,664.70 × 311,880.20
  4. Step 4: Simplify right side
    401,109.80x = 187,647,306,968.94
  5. Step 5: Solve for x
    x = 187,647,306,968.94/401,109.80
  6. Step 6: Final answer
    x = 467,820.30

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Why These Related Problems?

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