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Finding the Fourth Proportional to 404,305.20, 605,728.80 and 193,478.40

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Solution

The fourth proportional to 404,305.20, 605,728.80 and 193,478.40 is: 289,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,305.20 : 605,728.80 = 193,478.40 : x
  2. Step 2: Convert to fraction form
    404,305.20/605,728.80 = 193,478.40/x
  3. Step 3: Cross multiply
    404,305.20x = 605,728.80 × 193,478.40
  4. Step 4: Simplify right side
    404,305.20x = 117,195,439,057.92
  5. Step 5: Solve for x
    x = 117,195,439,057.92/404,305.20
  6. Step 6: Final answer
    x = 289,868.74

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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.