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Finding the Fourth Proportional to 412,249.60, 618,374.40 and 341,390.80

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Solution

The fourth proportional to 412,249.60, 618,374.40 and 341,390.80 is: 512,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,249.60 : 618,374.40 = 341,390.80 : x
  2. Step 2: Convert to fraction form
    412,249.60/618,374.40 = 341,390.80/x
  3. Step 3: Cross multiply
    412,249.60x = 618,374.40 × 341,390.80
  4. Step 4: Simplify right side
    412,249.60x = 211,107,331,115.52
  5. Step 5: Solve for x
    x = 211,107,331,115.52/412,249.60
  6. Step 6: Final answer
    x = 512,086.20

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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.