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Finding the Fourth Proportional to 446,968.71, 670,438.14 and 194,249.22

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Solution

The fourth proportional to 446,968.71, 670,438.14 and 194,249.22 is: 291,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,968.71 : 670,438.14 = 194,249.22 : x
  2. Step 2: Convert to fraction form
    446,968.71/670,438.14 = 194,249.22/x
  3. Step 3: Cross multiply
    446,968.71x = 670,438.14 × 194,249.22
  4. Step 4: Simplify right side
    446,968.71x = 130,232,085,753.25
  5. Step 5: Solve for x
    x = 130,232,085,753.25/446,968.71
  6. Step 6: Final answer
    x = 291,367.34

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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.