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Finding the Fourth Proportional to 397,408.20, 596,189.10 and 200,416.20

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Solution

The fourth proportional to 397,408.20, 596,189.10 and 200,416.20 is: 300,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,408.20 : 596,189.10 = 200,416.20 : x
  2. Step 2: Convert to fraction form
    397,408.20/596,189.10 = 200,416.20/x
  3. Step 3: Cross multiply
    397,408.20x = 596,189.10 × 200,416.20
  4. Step 4: Simplify right side
    397,408.20x = 119,485,953,903.42
  5. Step 5: Solve for x
    x = 119,485,953,903.42/397,408.20
  6. Step 6: Final answer
    x = 300,663.03

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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.