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Finding the Fourth Proportional to 446,969.10, 670,438.62 and 194,249.58

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Solution

The fourth proportional to 446,969.10, 670,438.62 and 194,249.58 is: 291,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,969.10 : 670,438.62 = 194,249.58 : x
  2. Step 2: Convert to fraction form
    446,969.10/670,438.62 = 194,249.58/x
  3. Step 3: Cross multiply
    446,969.10x = 670,438.62 × 194,249.58
  4. Step 4: Simplify right side
    446,969.10x = 130,232,420,350.78
  5. Step 5: Solve for x
    x = 130,232,420,350.78/446,969.10
  6. Step 6: Final answer
    x = 291,367.84

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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.