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Finding the Fourth Proportional to 409,285.40, 613,928.10 and 128,766.20

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Solution

The fourth proportional to 409,285.40, 613,928.10 and 128,766.20 is: 193,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,285.40 : 613,928.10 = 128,766.20 : x
  2. Step 2: Convert to fraction form
    409,285.40/613,928.10 = 128,766.20/x
  3. Step 3: Cross multiply
    409,285.40x = 613,928.10 × 128,766.20
  4. Step 4: Simplify right side
    409,285.40x = 79,053,188,510.22
  5. Step 5: Solve for x
    x = 79,053,188,510.22/409,285.40
  6. Step 6: Final answer
    x = 193,149.30

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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.