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Finding the Fourth Proportional to 412,315.20, 618,933.60 and 385,243.20

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Solution

The fourth proportional to 412,315.20, 618,933.60 and 385,243.20 is: 578,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,315.20 : 618,933.60 = 385,243.20 : x
  2. Step 2: Convert to fraction form
    412,315.20/618,933.60 = 385,243.20/x
  3. Step 3: Cross multiply
    412,315.20x = 618,933.60 × 385,243.20
  4. Step 4: Simplify right side
    412,315.20x = 238,439,960,651.52
  5. Step 5: Solve for x
    x = 238,439,960,651.52/412,315.20
  6. Step 6: Final answer
    x = 578,295.34

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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.