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Finding the Fourth Proportional to 398,158.20, 597,410.10 and 201,166.20

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Solution

The fourth proportional to 398,158.20, 597,410.10 and 201,166.20 is: 301,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,158.20 : 597,410.10 = 201,166.20 : x
  2. Step 2: Convert to fraction form
    398,158.20/597,410.10 = 201,166.20/x
  3. Step 3: Cross multiply
    398,158.20x = 597,410.10 × 201,166.20
  4. Step 4: Simplify right side
    398,158.20x = 120,178,719,658.62
  5. Step 5: Solve for x
    x = 120,178,719,658.62/398,158.20
  6. Step 6: Final answer
    x = 301,836.61

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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.