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Finding the Fourth Proportional to 397,399.20, 596,175.60 and 200,407.20

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Solution

The fourth proportional to 397,399.20, 596,175.60 and 200,407.20 is: 300,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,399.20 : 596,175.60 = 200,407.20 : x
  2. Step 2: Convert to fraction form
    397,399.20/596,175.60 = 200,407.20/x
  3. Step 3: Cross multiply
    397,399.20x = 596,175.60 × 200,407.20
  4. Step 4: Simplify right side
    397,399.20x = 119,477,882,704.32
  5. Step 5: Solve for x
    x = 119,477,882,704.32/397,399.20
  6. Step 6: Final answer
    x = 300,649.53

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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.