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Finding the Fourth Proportional to 412,360.80, 618,541.20 and 318,933.60

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Solution

The fourth proportional to 412,360.80, 618,541.20 and 318,933.60 is: 478,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,360.80 : 618,541.20 = 318,933.60 : x
  2. Step 2: Convert to fraction form
    412,360.80/618,541.20 = 318,933.60/x
  3. Step 3: Cross multiply
    412,360.80x = 618,541.20 × 318,933.60
  4. Step 4: Simplify right side
    412,360.80x = 197,273,571,664.32
  5. Step 5: Solve for x
    x = 197,273,571,664.32/412,360.80
  6. Step 6: Final answer
    x = 478,400.40

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Why These Related Problems?

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