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Finding the Fourth Proportional to 327,113.40, 490,670.10 and 201,142.20

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Solution

The fourth proportional to 327,113.40, 490,670.10 and 201,142.20 is: 301,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,113.40 : 490,670.10 = 201,142.20 : x
  2. Step 2: Convert to fraction form
    327,113.40/490,670.10 = 201,142.20/x
  3. Step 3: Cross multiply
    327,113.40x = 490,670.10 × 201,142.20
  4. Step 4: Simplify right side
    327,113.40x = 98,694,463,388.22
  5. Step 5: Solve for x
    x = 98,694,463,388.22/327,113.40
  6. Step 6: Final answer
    x = 301,713.30

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1.5x scale

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.