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Finding the Fourth Proportional to 412,469.10, 618,703.65 and 341,610.30

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Solution

The fourth proportional to 412,469.10, 618,703.65 and 341,610.30 is: 512,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,469.10 : 618,703.65 = 341,610.30 : x
  2. Step 2: Convert to fraction form
    412,469.10/618,703.65 = 341,610.30/x
  3. Step 3: Cross multiply
    412,469.10x = 618,703.65 × 341,610.30
  4. Step 4: Simplify right side
    412,469.10x = 211,355,539,487.60
  5. Step 5: Solve for x
    x = 211,355,539,487.60/412,469.10
  6. Step 6: Final answer
    x = 512,415.45

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1.5x scale

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.