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Finding the Fourth Proportional to 398,155.20, 597,405.60 and 201,163.20

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Solution

The fourth proportional to 398,155.20, 597,405.60 and 201,163.20 is: 301,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,155.20 : 597,405.60 = 201,163.20 : x
  2. Step 2: Convert to fraction form
    398,155.20/597,405.60 = 201,163.20/x
  3. Step 3: Cross multiply
    398,155.20x = 597,405.60 × 201,163.20
  4. Step 4: Simplify right side
    398,155.20x = 120,176,022,193.92
  5. Step 5: Solve for x
    x = 120,176,022,193.92/398,155.20
  6. Step 6: Final answer
    x = 301,832.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.