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Finding the Fourth Proportional to 412,134.28, 618,319.50 and 201,833.80

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Solution

The fourth proportional to 412,134.28, 618,319.50 and 201,833.80 is: 302,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,134.28 : 618,319.50 = 201,833.80 : x
  2. Step 2: Convert to fraction form
    412,134.28/618,319.50 = 201,833.80/x
  3. Step 3: Cross multiply
    412,134.28x = 618,319.50 × 201,833.80
  4. Step 4: Simplify right side
    412,134.28x = 124,797,774,299.10
  5. Step 5: Solve for x
    x = 124,797,774,299.10/412,134.28
  6. Step 6: Final answer
    x = 302,808.53

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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.