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Finding the Fourth Proportional to 412,270.32, 618,259.62 and 196,103.64

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Solution

The fourth proportional to 412,270.32, 618,259.62 and 196,103.64 is: 294,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,270.32 : 618,259.62 = 196,103.64 : x
  2. Step 2: Convert to fraction form
    412,270.32/618,259.62 = 196,103.64/x
  3. Step 3: Cross multiply
    412,270.32x = 618,259.62 × 196,103.64
  4. Step 4: Simplify right side
    412,270.32x = 121,242,961,947.02
  5. Step 5: Solve for x
    x = 121,242,961,947.02/412,270.32
  6. Step 6: Final answer
    x = 294,086.08

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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.