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Finding the Fourth Proportional to 397,410.20, 596,192.10 and 200,418.20

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Solution

The fourth proportional to 397,410.20, 596,192.10 and 200,418.20 is: 300,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,410.20 : 596,192.10 = 200,418.20 : x
  2. Step 2: Convert to fraction form
    397,410.20/596,192.10 = 200,418.20/x
  3. Step 3: Cross multiply
    397,410.20x = 596,192.10 × 200,418.20
  4. Step 4: Simplify right side
    397,410.20x = 119,487,747,536.22
  5. Step 5: Solve for x
    x = 119,487,747,536.22/397,410.20
  6. Step 6: Final answer
    x = 300,666.03

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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.