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Finding the Fourth Proportional to 446,765.64, 670,197.46 and 193,872.30

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Solution

The fourth proportional to 446,765.64, 670,197.46 and 193,872.30 is: 290,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,765.64 : 670,197.46 = 193,872.30 : x
  2. Step 2: Convert to fraction form
    446,765.64/670,197.46 = 193,872.30/x
  3. Step 3: Cross multiply
    446,765.64x = 670,197.46 × 193,872.30
  4. Step 4: Simplify right side
    446,765.64x = 129,932,723,024.36
  5. Step 5: Solve for x
    x = 129,932,723,024.36/446,765.64
  6. Step 6: Final answer
    x = 290,829.71

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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.